What is the height of a circular cone? I. The area of that cone is equal to the area of a rectangle whose length is 33 cm. II. The area of the base of that cone is 154 sq. cm.

Both I and II are necessary to answer

I alone sufficient while II alone not sufficient to answer

II alone sufficient while I alone not sufficient to answer

Either I or II alone sufficient to answer

Both I and II are not sufficient to answer

Both I and II are necessary to answer

Is a given rectangular block, a cube? I. At least 2 faces of the rectangular block are squares. II. The volume of the block is 64.

Both I and II are necessary to answer

I alone sufficient while II alone not sufficient to answer

II alone sufficient while I alone not sufficient to answer

Either I or II alone sufficient to answer

Both I and II are not sufficient to answer

Both I and II are necessary to answer

What is the capacity of a cylindrical tank? I. Radius of the base is half of its height which is 28 metres. II. Area of the base is 616 sq. metres and its height is 28 metres.

Both I and II are not sufficient to answer

I alone sufficient while II alone not sufficient to answer

II alone sufficient while I alone not sufficient to answer

Either I or II alone sufficient to answer

Both I and II are not sufficient to answer

Both I and II are necessary to answer

What is the volume of a cube? I. The area of each face of the cube is 64 square metres. II. The length of one side of the cube is 8 metres.

Both I and II are not sufficient to answer

I alone sufficient while II alone not sufficient to answer

II alone sufficient while I alone not sufficient to answer

Either I or II alone sufficient to answer

Both I and II are not sufficient to answer

Both I and II are necessary to answer

What is the volume of 32 metre high cylindrical tank? I. The area of its base is 154 m2. II. The diameter of the base is 14 m.

Both I and II are not sufficient to answer

I alone sufficient while II alone not sufficient to answer

II alone sufficient while I alone not sufficient to answer

Either I or II alone sufficient to answer

Both I and II are not sufficient to answer

Both I and II are necessary to answer

A well with inner diameter 8 m is dug 14 m deep. Earth take out of its has been evenly spread all around it to a width of 3 m form an embankment. The height of the embankment will be :

${\text{7}}\frac{{26}}{{33}}{\text{m}}$$

${\text{4}}\frac{{26}}{{33}}{\text{m}}$$

${\text{5}}\frac{{26}}{{33}}{\text{m}}$$

${\text{6}}\frac{{26}}{{33}}{\text{m}}$$

${\text{7}}\frac{{26}}{{33}}{\text{m}}$$

804 + Mcqs in Volume And Surface Area in Arithmetic Ability Page 1 McqOptions

1.	What is the height of a circular cone? I. The area of that cone is equal to the area of a rectangle whose length is 33 cm. II. The area of the base of that cone is 154 sq. cm.
A.	I alone sufficient while II alone not sufficient to answer
B.	II alone sufficient while I alone not sufficient to answer
C.	Either I or II alone sufficient to answer
D.	Both I and II are not sufficient to answer
E.	Both I and II are necessary to answer
Answer» E. Both I and II are necessary to answer

Discussion

2.	Is a given rectangular block, a cube? I. At least 2 faces of the rectangular block are squares. II. The volume of the block is 64.
A.	I alone sufficient while II alone not sufficient to answer
B.	II alone sufficient while I alone not sufficient to answer
C.	Either I or II alone sufficient to answer
D.	Both I and II are not sufficient to answer
E.	Both I and II are necessary to answer
Answer» E. Both I and II are necessary to answer

Discussion

3.	What is the capacity of the cylindrical tank? I. The area of the base is 61,600 sq. cm. II. The height of the tank is 1.5 times the radius. III. The circumference of base is 880 cm.
A.	Only I and II
B.	Only II and III
C.	Only I and III
D.	Any two of the three
E.	Only II and either I or III
Answer» F.

Discussion

4.	What is the capacity of a cylindrical tank? I. Radius of the base is half of its height which is 28 metres. II. Area of the base is 616 sq. metres and its height is 28 metres.
A.	I alone sufficient while II alone not sufficient to answer
B.	II alone sufficient while I alone not sufficient to answer
C.	Either I or II alone sufficient to answer
D.	Both I and II are not sufficient to answer
E.	Both I and II are necessary to answer
Answer» D. Both I and II are not sufficient to answer

Discussion

5.	What is the volume of a cube? I. The area of each face of the cube is 64 square metres. II. The length of one side of the cube is 8 metres.
A.	I alone sufficient while II alone not sufficient to answer
B.	II alone sufficient while I alone not sufficient to answer
C.	Either I or II alone sufficient to answer
D.	Both I and II are not sufficient to answer
E.	Both I and II are necessary to answer
Answer» D. Both I and II are not sufficient to answer

Discussion

6.	What is the volume of 32 metre high cylindrical tank? I. The area of its base is 154 m2. II. The diameter of the base is 14 m.
A.	I alone sufficient while II alone not sufficient to answer
B.	II alone sufficient while I alone not sufficient to answer
C.	Either I or II alone sufficient to answer
D.	Both I and II are not sufficient to answer
E.	Both I and II are necessary to answer
Answer» D. Both I and II are not sufficient to answer

Discussion

7.	A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8 g/cm3, then the weight of the pipe is:
A.	3.6 kg
B.	3.696 kg
C.	36 kg
D.	36.9 kg
Answer» C. 36 kg

Discussion

8.	The curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m3. Find the ratio of its diameter to its height.
A.	3 : 7
B.	7 : 3
C.	6 : 7
D.	7 : 6
Answer» C. 6 : 7

Discussion

9.	The volume of a cuboid is twice that of a cube . If the dimensions of the cuboid are 9 cm, 8 cm and 6 cm, the total surface area of the cube is :
A.	2 cm2
B.	08 cm2
C.	16 cm2
D.	32 cm2
Answer» D. 32 cm2

Discussion

10.	Each side of a cube measures 8 metres. What is the volume of the cube ?
A.	2 cu.m
B.	44 cu.m
C.	96 cu.m
D.	one of these
Answer» E.

Discussion

11.	A rectangular tank is 225 m by 162 m at the base. With what speed must water flow into it through an aperture 60 cm by 45 cm so that the level may be raised 20 cm in 5 hours ?
A.	000 m/hr
B.	200 m/hr
C.	400 m/hr
D.	600 m/hr
Answer» D. 600 m/hr

Discussion

12.	If the radius of a sphere is increased by 10%, then the volume will be increased by :
A.	3.1%
B.	0%
C.	0%
D.	0%
Answer» B. 0%

Discussion

13.	The ratio of the volumes of a right circular cylinder and a sphere is 3 : 2. If the radius of the sphere is double the radius of the base of the cylinder, find the ratio of the total surface areas of the cylinder and the sphere :
A.	: 8
B.	3 : 8
C.	5 : 8
D.	7 : 8
Answer» E.

Discussion

14.	Two cans have the same height equal to 21 cm. One can is cylindrical, the diameter of whose base is 10 cm. The other can has square base of side 10 cm. What is the difference in their capacities ?
A.	50 cm3
B.	00 cm3
C.	350 cm3
D.	50 cm3
Answer» E.

Discussion

15.	The radius of a hemispherical bowls is 6 cm. The capacity of the bowl is$$\left( {{\text{Take }}\pi= \frac{{22}}{7}} \right)$$
A.	95.51 cm3
B.	52.57 cm3
C.	45.53 cm3
D.	22 cm3
Answer» C. 45.53 cm3

Discussion

16.	The length of canvas 1.1 m wide required to build a conical tent of height 14 m and the floor area 346.5 sq.m is :
A.	90 m
B.	25 m
C.	65 m
D.	60 m
Answer» C. 65 m

Discussion

17.	If the volume and curved surface area of a cylinder are 616 m3 and 352 m2 respectively, what is the total surface area of the cylinder (in m2)
A.	29$$\,{\text{sq}}{\text{.m}}$$
B.	19$$\,{\text{sq}}{\text{.m}}$$
C.	35$$\,{\text{sq}}{\text{.m}}$$
D.	21$$\,{\text{sq}}{\text{.m}}$$
E.	17$$\,{\text{sq}}{\text{.m}}$$
Answer» B. 19$$\,{\text{sq}}{\text{.m}}$$

Discussion

18.	What is the volume in cubic cm of a pyramid whose area of the base is 25 sq cm and height 9 cm ?
A.	0 cm3
B.	5 cm3
C.	0 cm3
D.	05 cm3
Answer» C. 0 cm3

Discussion

19.	A hemispherical bowl is 176 cm round the brim. Supposing it to be half full, how many persons may be served from it in hemispherical glasses 4 cm in diameter at the top ?
A.	172
B.	272
C.	372
D.	472
Answer» D. 472

Discussion

20.	The diameter of the iron ball used for the shot-put game is 14 cm. It is melted and then a solid cylinder of height $$2\frac{1}{3}$$ cm is made. What will be the diameter of the base of the cylinder ?
A.	4 cm
B.	$\frac{{14}}{3}$$ cm
C.	8 cm
D.	$\frac{{28}}{3}$$ cm
Answer» D. $\frac{{28}}{3}$$ cm

Discussion

21.	If the surface area of two spheres are in the ratio of 4 : 25, then the ratio of their volumes is :
A.	: 25
B.	5 : 4
C.	25 : 8
D.	: 125
Answer» E.

Discussion

22.	In a right circular cone, the radius of its base is 7 cm and its height is 24 cm. A cross-section is made through the mid-point of the height parallel to the base. The volume of the upper portion is :
A.	54 cm3
B.	69 cm3
C.	00 cm3
D.	078 cm3
Answer» B. 69 cm3

Discussion

23.	A semicircular sheet of paper of diameter 28 cm is bent to cover the exterior surface of an open conical ice-cream cup. The depth of the ice-cream cup is :
A.	.12 cm
B.	0.12 cm
C.	2.12 cm
D.	4.12 cm
Answer» D. 4.12 cm

Discussion

24.	An iron pipe 20 cm long has exterior diameter equal to 25 cm. If the thickness of the pipe is 1 cm, then the whole surface of the pipe is :
A.	068 cm2
B.	168 cm2
C.	268 cm2
D.	368 cm2
Answer» C. 268 cm2

Discussion

25.	A well with inner diameter 8 m is dug 14 m deep. Earth take out of its has been evenly spread all around it to a width of 3 m form an embankment. The height of the embankment will be :
A.	${\text{4}}\frac{{26}}{{33}}{\text{m}}$$
B.	${\text{5}}\frac{{26}}{{33}}{\text{m}}$$
C.	${\text{6}}\frac{{26}}{{33}}{\text{m}}$$
D.	${\text{7}}\frac{{26}}{{33}}{\text{m}}$$
Answer» D. ${\text{7}}\frac{{26}}{{33}}{\text{m}}$$

Discussion

26.	A closed metallic cylindrical box is 1.25 m high and its base radius is 35 cm. If the sheet metal costs Rs. 80 per m2, the cost of the material used in the box is :
A.	s. 281.60
B.	s. 290
C.	s. 340.50
D.	s. 500
Answer» B. s. 290

Discussion

27.	The dimensions of a certain machine are 48" × 30" × 52". If the size of the machine is increased proportionately until the sum of its dimensions equal 156", what will be the increase in the shortest side ?
A.	"
B.	"
C.	"
D.	"
Answer» C. "

Discussion

28.	A 4 cm cube is cut into 1 cm cubes. The total surface area of all the small cubes is :
A.	4 cm2
B.	6 cm2
C.	84 cm2
D.	one of these
Answer» E.

Discussion

29.	If the areas of three adjacent faces of a rectangular block are in the ratio of 2 : 3 : 4 and its volume is 9000 cu.cm; then the length of the shortest side is :
A.	0 cm
B.	5 cm
C.	0 cm
D.	0 cm
Answer» C. 0 cm

Discussion

30.	A plot of land in the form of a rectangle has dimensions 240 m × 180 m. A drain-let 10 m wide is dug all around it (outside) and the earth dug out is evenly spread over the plot, increasing its surface level by 25 cm. The depth of the drain-let is :
A.	.223 m
B.	.225 m
C.	.227 m
D.	.229 m
Answer» D. .229 m

Discussion

31.	A sphere of maximum volume is cut out from a solid hemisphere of radius r. The ratio of the volume of the hemisphere to that of the cut out sphere is :
A.	: 2
B.	: 1
C.	: 3
D.	: 4
Answer» C. : 3

Discussion

32.	A right circular cylinder and a sphere are of equal volumes and their radii are also equal. If h is the height of the cylinder and d, the diameter of the sphere, then :
A.	$h = d$$
B.	$2h = d$$
C.	$\frac{h}{3} = \frac{d}{2}$$
D.	$\frac{h}{2} = \frac{d}{3}$$
Answer» E.

Discussion

33.	A tent is in the form of a right circular cylinder surmounted by a cone. The diameter of the cylinder is 24 m. The height of the cylindrical portion is 11 m while the vertex of the cone is 16 m above the ground. The area of the canvas required for the tent is :
A.	300 m2
B.	310 m2
C.	320 m2
D.	330 m2
Answer» D. 330 m2

Discussion

34.	The radius and height of a right circular cone are in the ratio 3 : 4. If its volume is $$301\frac{5}{7}$$ cm3, what is its slant height ?
A.	cm
B.	cm
C.	0 cm
D.	2 cm
Answer» D. 2 cm

Discussion

35.	The truck of a tree is a right cylinder 1.5 m in radius and 10 m high. The volume of the timber which remains when the truck is trimmed just enough to reduce it to a rectangular parallelopiped on a square base is :
A.	4 m3
B.	5 m3
C.	6 m3
D.	7 m3
Answer» B. 5 m3

Discussion

36.	A cylindrical tank of diameter 35 cm is full of water. If 11 litres of water is drawn off, the water level in the tank will drop by :
A.	$10\frac{1}{2}{\text{ cm}}$$
B.	$11\frac{3}{7}{\text{ cm}}$$
C.	$12\frac{6}{7}{\text{ cm}}$$
D.	$14{\text{ cm}}$$
Answer» C. $12\frac{6}{7}{\text{ cm}}$$

Discussion

37.	A well has to be dug out that is to be 22.5 m deep and of diameter 7 m. Find the cost of plastering the inner curved surface at Rs. 3 per sq.meter :
A.	s. 1465
B.	s. 1475
C.	s. 1485
D.	s. 1495
Answer» D. s. 1495

Discussion

38.	The volume of two spheres are in the ratio of 64 : 27. The ratio p their surface areas is :
A.	: 2
B.	: 3
C.	: 16
D.	6 : 9
Answer» E.

Discussion

39.	If the radius of a sphere is doubled, how many times does its volume becomes ?
A.	times
B.	times
C.	times
D.	times
Answer» E.

Discussion

40.	Water flows at the rate of 10 metres per minutes from a cylindrical pipe 5 mm in diameter. How long will it take to fill up a conical vessel whose diameter at the base is 40 cm and depth 24 cm ?
A.	8 minutes 15 seconds
B.	1 minutes 12 seconds
C.	2 minutes 1 seconds
D.	5 minutes
Answer» C. 2 minutes 1 seconds

Discussion

41.	Water is flowing at the rate of 5 km/hr through a cylindrical pipe of diameter 14 cm into a rectangular tank which is 50 m long and 44 m wide. Determine the time in which the level of water in the tank will rise by 7 cm :
A.	hour
B.	$1\frac{1}{2}$$ hours
C.	hours
D.	hours
Answer» D. hours

Discussion

42.	Diameter of a jar cylindrical in shape is increased by 25%. By what percent must the height be decreased so that there is no change in its volume :
A.	0%
B.	5%
C.	6%
D.	0%
Answer» D. 0%

Discussion

43.	A solid metallic cylinder of base radius 3 cm and height 5 cm is melted to form cones, each of height 1 cm and base radius 1 mm. The number of cones is :
A.	50
B.	350
C.	500
D.	3500
Answer» E.

Discussion

44.	A conical tent is to accommodate 11 persons. Each person must have 4 sq. metres of the space on the ground and 20 cubic metres of air to breath. The height of the cone is :
A.	3 m
B.	4 m
C.	5 m
D.	6 m
Answer» D. 6 m

Discussion

45.	A copper rod of 1 cm diameter and 8 cm length is drawn into a wire of uniform diameter and 18 m length. The radius (in cm) of the wire, is :
A.	$\frac{1}{15}$$
B.	$\frac{1}{30}$$
C.	$\frac{2}{15}$$
D.	$15$$
Answer» C. $\frac{2}{15}$$

Discussion

46.	If the height of a cylinder is increased by 15 percent and the radius of its base is decreased by 10 percent then by what percent will its curved surface area change ?
A.	.5% decrease
B.	.5% increase
C.	% decrease
D.	% increase
Answer» C. % decrease

Discussion

47.	The capacity of a cylindrical tank is 246.4 litres. If the height is 4 metres, what is the diameter of the base ?
A.	.4 cm
B.	.8 cm
C.	4 cm
D.	8 cm
E.	one of these
Answer» E. one of these

Discussion

48.	Except for one face of a given cube, identical cubes are glued through their faces to all the other faces of the given cube. If each side of the given cube measures 3 cm, then what is the total surface area of the solid body thus formed ?
A.	25 cm2
B.	34 cm2
C.	70 cm2
D.	79 cm2
Answer» C. 70 cm2

Discussion

49.	The dimensions of an open box are 52 cm × 40 cm × 29 cm. It thickness is 2 cm. If 1 cu.cm of metal used in the box weight 0.5 gm, then the weight of the box is :
A.	.832 kg
B.	.576 kg
C.	.76 kg
D.	.56 kg
Answer» B. .576 kg

Discussion

50.	The radius of a sphere is equal to the radius of the base of a right circular cone, and the volume of the sphere is double the volume of the cone. The ratio of the height of the cone to the radius of its base is :
A.	: 1
B.	: 2
C.	: 3
D.	: 2
Answer» B. : 2

Discussion

Explore topic-wise MCQs in Arithmetic Ability.

What is the height of a circular cone? I. The area of that cone is equal to the area of a rectangle whose length is 33 cm. II. The area of the base of that cone is 154 sq. cm.

Is a given rectangular block, a cube? I. At least 2 faces of the rectangular block are squares. II. The volume of the block is 64.

What is the capacity of the cylindrical tank? I. The area of the base is 61,600 sq. cm. II. The height of the tank is 1.5 times the radius. III. The circumference of base is 880 cm.

What is the capacity of a cylindrical tank? I. Radius of the base is half of its height which is 28 metres. II. Area of the base is 616 sq. metres and its height is 28 metres.

What is the volume of a cube? I. The area of each face of the cube is 64 square metres. II. The length of one side of the cube is 8 metres.

What is the volume of 32 metre high cylindrical tank? I. The area of its base is 154 m2. II. The diameter of the base is 14 m.

A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8 g/cm3, then the weight of the pipe is:

The curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m3. Find the ratio of its diameter to its height.

The volume of a cuboid is twice that of a cube . If the dimensions of the cuboid are 9 cm, 8 cm and 6 cm, the total surface area of the cube is :

Each side of a cube measures 8 metres. What is the volume of the cube ?

A rectangular tank is 225 m by 162 m at the base. With what speed must water flow into it through an aperture 60 cm by 45 cm so that the level may be raised 20 cm in 5 hours ?

If the radius of a sphere is increased by 10%, then the volume will be increased by :

The ratio of the volumes of a right circular cylinder and a sphere is 3 : 2. If the radius of the sphere is double the radius of the base of the cylinder, find the ratio of the total surface areas of the cylinder and the sphere :

Two cans have the same height equal to 21 cm. One can is cylindrical, the diameter of whose base is 10 cm. The other can has square base of side 10 cm. What is the difference in their capacities ?

The radius of a hemispherical bowls is 6 cm. The capacity of the bowl is$$\left( {{\text{Take }}\pi= \frac{{22}}{7}} \right)$$

The length of canvas 1.1 m wide required to build a conical tent of height 14 m and the floor area 346.5 sq.m is :

If the volume and curved surface area of a cylinder are 616 m3 and 352 m2 respectively, what is the total surface area of the cylinder (in m2)

What is the volume in cubic cm of a pyramid whose area of the base is 25 sq cm and height 9 cm ?

A hemispherical bowl is 176 cm round the brim. Supposing it to be half full, how many persons may be served from it in hemispherical glasses 4 cm in diameter at the top ?

The diameter of the iron ball used for the shot-put game is 14 cm. It is melted and then a solid cylinder of height $$2\frac{1}{3}$$ cm is made. What will be the diameter of the base of the cylinder ?

If the surface area of two spheres are in the ratio of 4 : 25, then the ratio of their volumes is :

In a right circular cone, the radius of its base is 7 cm and its height is 24 cm. A cross-section is made through the mid-point of the height parallel to the base. The volume of the upper portion is :

A semicircular sheet of paper of diameter 28 cm is bent to cover the exterior surface of an open conical ice-cream cup. The depth of the ice-cream cup is :

An iron pipe 20 cm long has exterior diameter equal to 25 cm. If the thickness of the pipe is 1 cm, then the whole surface of the pipe is :

A well with inner diameter 8 m is dug 14 m deep. Earth take out of its has been evenly spread all around it to a width of 3 m form an embankment. The height of the embankment will be :

A closed metallic cylindrical box is 1.25 m high and its base radius is 35 cm. If the sheet metal costs Rs. 80 per m2, the cost of the material used in the box is :

The dimensions of a certain machine are 48" × 30" × 52". If the size of the machine is increased proportionately until the sum of its dimensions equal 156", what will be the increase in the shortest side ?

A 4 cm cube is cut into 1 cm cubes. The total surface area of all the small cubes is :

If the areas of three adjacent faces of a rectangular block are in the ratio of 2 : 3 : 4 and its volume is 9000 cu.cm; then the length of the shortest side is :

A plot of land in the form of a rectangle has dimensions 240 m × 180 m. A drain-let 10 m wide is dug all around it (outside) and the earth dug out is evenly spread over the plot, increasing its surface level by 25 cm. The depth of the drain-let is :

A sphere of maximum volume is cut out from a solid hemisphere of radius r. The ratio of the volume of the hemisphere to that of the cut out sphere is :

A right circular cylinder and a sphere are of equal volumes and their radii are also equal. If h is the height of the cylinder and d, the diameter of the sphere, then :

A tent is in the form of a right circular cylinder surmounted by a cone. The diameter of the cylinder is 24 m. The height of the cylindrical portion is 11 m while the vertex of the cone is 16 m above the ground. The area of the canvas required for the tent is :

The radius and height of a right circular cone are in the ratio 3 : 4. If its volume is $$301\frac{5}{7}$$ cm3, what is its slant height ?

The truck of a tree is a right cylinder 1.5 m in radius and 10 m high. The volume of the timber which remains when the truck is trimmed just enough to reduce it to a rectangular parallelopiped on a square base is :

A cylindrical tank of diameter 35 cm is full of water. If 11 litres of water is drawn off, the water level in the tank will drop by :

A well has to be dug out that is to be 22.5 m deep and of diameter 7 m. Find the cost of plastering the inner curved surface at Rs. 3 per sq.meter :

The volume of two spheres are in the ratio of 64 : 27. The ratio p their surface areas is :

If the radius of a sphere is doubled, how many times does its volume becomes ?

Water flows at the rate of 10 metres per minutes from a cylindrical pipe 5 mm in diameter. How long will it take to fill up a conical vessel whose diameter at the base is 40 cm and depth 24 cm ?

Water is flowing at the rate of 5 km/hr through a cylindrical pipe of diameter 14 cm into a rectangular tank which is 50 m long and 44 m wide. Determine the time in which the level of water in the tank will rise by 7 cm :

Diameter of a jar cylindrical in shape is increased by 25%. By what percent must the height be decreased so that there is no change in its volume :

A solid metallic cylinder of base radius 3 cm and height 5 cm is melted to form cones, each of height 1 cm and base radius 1 mm. The number of cones is :

A conical tent is to accommodate 11 persons. Each person must have 4 sq. metres of the space on the ground and 20 cubic metres of air to breath. The height of the cone is :

A copper rod of 1 cm diameter and 8 cm length is drawn into a wire of uniform diameter and 18 m length. The radius (in cm) of the wire, is :

If the height of a cylinder is increased by 15 percent and the radius of its base is decreased by 10 percent then by what percent will its curved surface area change ?

The capacity of a cylindrical tank is 246.4 litres. If the height is 4 metres, what is the diameter of the base ?

Except for one face of a given cube, identical cubes are glued through their faces to all the other faces of the given cube. If each side of the given cube measures 3 cm, then what is the total surface area of the solid body thus formed ?

The dimensions of an open box are 52 cm × 40 cm × 29 cm. It thickness is 2 cm. If 1 cu.cm of metal used in the box weight 0.5 gm, then the weight of the box is :

The radius of a sphere is equal to the radius of the base of a right circular cone, and the volume of the sphere is double the volume of the cone. The ratio of the height of the cone to the radius of its base is :