Explore topic-wise MCQs in Volume & Surface Areas.

This section includes 99 Mcqs, each offering curated multiple-choice questions to sharpen your Volume & Surface Areas knowledge and support exam preparation. Choose a topic below to get started.

51.

In a right circular cone, the cross-section made by a plane parallel to the base is a

A. circle
B. frustum of a cone
C. sphere
D. hemisphere
Answer» B. frustum of a cone
52.

A cylinder and a cone are of same base radius and of same height. The ratio of the volume of the cylinder to that of the cone is

A. 2 : 1
B. 3 : 1
C. 2 : 3
D. 3 : 2
Answer» C. 2 : 3
53.

Surface Area And Volume MCQ Questions Question 6. The surface area of a sphere is 616 cm 2;. Its radius is

A. 7 cm
B. 14 cm
C. 21 cm
D. 28 cm
Answer» B. 14 cm
54.

The total surface area of a hemispherical solid having radius 7 cm is

A. 462 cm
B. 294 cm
C. 588 cm
D. 154 cm
Answer» B. 294 cm
55.

A solid formed on revolving a right angled triangle about its height is

A. cylinder
B. sphere
C. right circular cone
D. two cones
Answer» D. two cones
56.

The slant height of the frustum of a cone having radii of two ends as 5 cm and 2 cm respectively and height 4 cm is

A. 26 cm
B. 5 cm
C. 65 cm
D. 25 cm
Answer» C. 65 cm
57.

A shuttlecock used for playing badminton has the shape of the combination of

A. a cylinder and a sphere
B. a sphere and a cone
C. a cylinder and a hemisphere
D. frustum of a cone and a hemisphere
Answer» E.
58.

A cylindrical pencil sharpened at one edge is the combination of

A. two cylinders
B. a hemisphere and a cylinder
C. a cone and a cylinder
D. frustum of a cone and a cylinder
Answer» D. frustum of a cone and a cylinder
59.

Volume of a sphere with radius r is obtained by multiplying its surface area by r and a constant. Find the value of constant:

A. 3
B. 1/3
C. 4/3
D. 1
Answer» C. 4/3
60.

Radius of a circle is increased by 6%, determine the increase in area of the circle.

A. 12%
B. 12.36%
C. 12.64%
D. 6%
Answer» C. 12.64%
61.

A 4080 cu.cm cubical room can contain how many maximum number of boxes having dimensions 4 cm, 3 cm and 2 cm?

A. 170
B. 185
C. 160
D. 155
Answer» B. 185
62.

The radius (in cm) of the largest right circular cone that can be cut out from a cube of edge 4.2 cm is

A. 4.2
B. 2.1
C. 8.1
D. 1.05
Answer» C. 8.1
63.

If two solid hemispheres of the same base radius r are joined together along their bases, then curved surface area of this new solid is

A. 4 r
B. 6 r
C. 3 r
D. 8 r
Answer» B. 6 r
64.

A cube whose edge is 20 cm long, has circles on each of its faces painted black. What is the total area of the unpainted surface of the cube if the circles are of the largest possible areas?

A. 90.72 cm
B. 256.72 cm
C. 330.3 cm
D. 514.28 cm
Answer» E.
65.

A surahi is the combination of

A. a sphere and a cylinder
B. a hemisphere and a cylinder
C. two hemispheres
D. a cylinder and a cone
Answer» B. a hemisphere and a cylinder
66.

A sphere of diameter 18 cm is dropped into a cylindrical vessel of diameter 36 cm, partly filled with water. If the sphere is completely submerged, then the water level rises (in cm) by

A. 3
B. 4
C. 5
D. 6
Answer» B. 4
67.

The radii of the top and bottom of a bucket of slant height 13 cm are 9 cm and 4 cm respectively. The height of the bucket is

A. 10 cm
B. 12 cm
C. 15 cm
D. 16 cm
Answer» C. 15 cm
68.

If two solid hemispheres of same base radius are joined together along their bases, then curved surface area of this new solid is

A. 3 r
B. 4 r
C. 5 r
D. 6 r
Answer» C. 5 r
69.

The base radii of two circular cones of the same height are in the ratio 3 : 5. The ratio of their volumes are

A. 9 : 25
B. 5 : 3
C. 9 : 5
D. 3 : 25
Answer» B. 5 : 3
70.

The curved surface area of glass having radii 3 cm and 4 cm respectively and slant height 10 cm is

A. 55 cm
B. 110 cm
C. 220 cm
D. 440 cm
Answer» D. 440 cm
71.

A piece of paper is in the shape of a semi circular region of radius 10 cm. It is rolled to form a right circular cone. The slant height is

A. 5 cm
B. 10 cm
C. 15 cm
D. 20 cm
Answer» C. 15 cm
72.

The volume of a sphere is 4851 cm 3;. Its diameter is

A. 3.5 cm
B. 7 cm
C. 14 cm
D. 21 cm
Answer» E.
73.

A cone is cut through a plane parallel to its base and then the cone that is formed on one side of that plane is removed. The new part that is left over on the other side of the plane is called

A. a frustum of a cone
B. cone
C. cylinder
D. sphere
Answer» B. cone
74.

A shuttle cock used for playing badminton has the shape of the combination of

A. a cylinder and a sphere
B. a cylinder and a hemisphere
C. a sphere and a cone
D. frustum of a cone and a hemisphere
Answer» E.
75.

The shape of a glass (tumbler) is usually in the form of

A. A cone
B. frustum of a cone
C. a cylinder
D. a sphere
Answer» C. a cylinder
76.

Given that 1 cu. cm of marble weighs 25 g, the weight of a marble block of 28 cm in width and 5 cm thick, is 112 kg. The length of the block is

A. 36 cm
B. 37.5 cm
C. 32 cm
D. 26.5 cm
Answer» D. 26.5 cm
77.

In a swimming pool measuring 90 m 40 m, 150 men take a dip. If the average displacement of water by a man is 8 m3, then rise in water level is

A. 27.33 cm
B. 30 cm
C. 31.33 cm
D. 33.33 cm
Answer» E.
78.

How many bags of grain can be stored in a cuboid granary 12 m 6 m 5 m. If each bag occupies a space of 0.48 m 3;?

A. 750
B. 75
C. 1500
D. 375
Answer» B. 75
79.

If a rectangular cuboid is 9cm long and 8cm wide with volume of 450cm 3; then height of cuboid in 'cm' is

A. 12.25
B. 6.25
C. 8.25
D. 9.25
Answer» C. 8.25
80.

If a rectangular cuboid is 15cm long, 10cm wide and 9cm high with volume of 500cm 3; then surface area of cuboid is

A. 750cm
B. 800cm
C. 850cm
D. 700cm
Answer» B. 800cm
81.

If 200 liters of orange juice is to be poured in cylindrical drum with diameter of 80cm then depth of orange juice in drum is

A. 54.68cm
B. 39.78cm
C. 45.78cm
D. 48.68cm
Answer» C. 45.78cm
82.

If diameter of right circular cylinder is 18cm with height of 28cm and value of pi = 3.142 then total surface area of cylinder is

A. 2092.572cm
B. 3092.572cm
C. 4092.572cm
D. 1092.572cm
Answer» B. 3092.572cm
83.

By converting 900000cm 3; into liters, answer will be

A. 9000 liters
B. 90 liters
C. 9 liters
D. 900 liters
Answer» E.
84.

If there are 150 wood cylinders to be carved and each cylinder is 12cm long and has diameter of 45mm then total surface area for carving is

A. 285cm
B. 250cm
C. 201cm
D. 305cm
Answer» D. 305cm
85.

By converting 2500000mm 3; into cm 3;, answer will be

A. 250cm
B. 2500cm
C. 25cm
D. 25000cm
Answer» C. 25cm
86.

By converting 0.8m 3; into cm 3;, answer will be

A. 800000cm
B. 80000cm
C. 8000cm
D. 800cm
Answer» D. 800cm
87.

By converting 6800cm 3; into ml, answer will be

A. 6800ml
B. 680ml
C. 68ml
D. 68000ml
Answer» B. 680ml
88.

If a rectangular tank is 21cm long, 13cm wide and 18cm high and contains water up to a height of 11cm then volume of water in liters is

A. 4.003 liters
B. 5.003 liters
C. 3.003 liters
D. 2.003 liters
Answer» D. 2.003 liters
89.

If a cuboid is 2.7cm high, 7.8cm long and 3.7 wide then volume of cuboid is

A. 77.922cm
B. 82.987cm
C. 83.456m
D. 85.687cm
Answer» B. 82.987cm
90.

The length, breadth and height of a room are 12 m, 10 m, and 9m respectively. Find the area of our walls of room?

A. 636 m
B. 516 m
C. 800 m
D. 456m
Answer» C. 800 m
91.

Curved surface area of a cone is 308 cm 2; and its slant height is 14 cm.

A. Radius of the cone is 7cm
B. total surface area is 462 cm
C. Height of the cone is (147)
D. None of the above
Answer» C. Height of the cone is (147)
92.

The plastic paint in a Asian paint container is sufficient to paint an area equal to 93.75m 2;. How many blocks of dimensions 22.5 cm 10 cm 7.5 cm can be painted out of this container

A. 100
B. 800
C. 940
D. 1000
Answer» E.
93.

A solid with a vertex and a base that is formed by a simple closed curve is a

A. Triangle
B. Cone
C. Pyramid
D. Dice
Answer» C. Pyramid
94.

A basketball has a volume of 5600cm 3;. its radius is

A. 10cm
B. 9cm
C. 11cm
D. 8cm
Answer» D. 8cm
95.

Total surface area of pyramid is equal to

A. total area of all faces
B. total area of base
C. length of slant edge
D. none of above
Answer» B. total area of base
96.

Surface area of cone is

A. a
B. a
C. rl
D. none of above
Answer» D. none of above
97.

Volume of sphere is

A. (4/3) r
B. 3 4rl
C. 3.414ra
D. None of above
Answer» B. 3 4rl
98.

A solid with polygonal base and vertex is a

A. Diamond
B. Pyramid
C. Triangle
D. Dice
Answer» C. Triangle
99.

If volume of sphere is 850m 3; then its radius and surface area are

A. 6m, 450m
B. 5m, 560m
C. 2m, 780m
D. 5.88m, 434m
Answer» E.