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This section includes 10 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.
1. |
What is the formula required to use for T.S.A of an article which is made by digging out a hemisphere from each end of a solid cylinder? |
A. | C.S.A of the cylinder 2(C.S.A of the hemisphere) |
B. | C.S.A of the cylinder + C.S.A of the hemisphere |
C. | C.S.A of the cylinder + 2(C.S.A of the hemisphere) |
D. | C.S.A of the cylinder C.S.A of the hemisphere |
Answer» D. C.S.A of the cylinder C.S.A of the hemisphere | |
2. |
What is the volume of an article which is made by digging out a hemisphere from each end of a solid cylinder where the radius, height of the cylinder is 5 cm, 8 cm respectively and the radius of the hemisphere is 5 cm? |
A. | 104.40 cm<sup>3</sup> |
B. | 205.6 cm<sup>3</sup> |
C. | 168.23 cm<sup>3</sup> |
D. | 604 cm<sup>3</sup> |
Answer» B. 205.6 cm<sup>3</sup> | |
3. |
What is the formula to find the height of an iron pillar consisting of a cylinder and a cone mounted on it? |
A. | The radius of the cylinder + 2(height of the cone) |
B. | Height of the cylinder + 2(height of the cone) |
C. | The radius of the cylinder + radius of the cone |
D. | Height of the cylinder + height of the cone |
Answer» E. | |
4. |
What is the volume of an article which is made by digging out a hemisphere from each end of a solid cylinder? |
A. | r<sup>2</sup>h + 2(2 r<sup>3</sup>) |
B. | 2 rh 2( r<sup>2</sup>) |
C. | 2 rh + 2( ( frac {2}{3} ) r<sup>2</sup>) |
D. | r<sup>2</sup>h 2( ( frac {2}{3} ) r<sup>3</sup>) |
Answer» E. | |
5. |
The length, breadth and height of the cuboid is 8 cm, 4 cm and 4 cm. Find the volume of the cuboid? |
A. | 152.76 cm<sup>3</sup> |
B. | 154 cm<sup>3</sup> |
C. | 128 cm<sup>3</sup> |
D. | 141.76 cm<sup>3</sup> |
Answer» D. 141.76 cm<sup>3</sup> | |
6. |
What is the length of the resulting solid if two identical cubes of side 7 cm are joined end to end? |
A. | 26 cm |
B. | 16 cm |
C. | 21 cm |
D. | 14 cm |
Answer» E. | |
7. |
A toy is in the form of a cone mounted on a hemisphere and a cylinder. The radius and height of the cone are 3 m and 4 m. Find the volume of the given solid? |
A. | 193.21 m<sup>3</sup> |
B. | 207.30 m<sup>3</sup> |
C. | 184.21 m<sup>3</sup> |
D. | 282.21 m<sup>3</sup> |
Answer» C. 184.21 m<sup>3</sup> | |
8. |
Find the volume of the largest right circular cone that can be cut out of cube having 5 cm as its length of the side. |
A. | 32.72 cm<sup>3</sup> |
B. | 15 cm<sup>3</sup> |
C. | 25.4 cm<sup>3</sup> |
D. | 37.2 cm<sup>3</sup> |
Answer» B. 15 cm<sup>3</sup> | |
9. |
A wooden box is in the shape of a cuboid with three conical depressions. 7 cm 3 cm 4 cm are the dimensions of the cuboid and the radius and depth of the conical depressions are 0.5 cm and 1.2 cm. Find the volume of the entire wooden box? |
A. | 109.4 cm<sup>3</sup> |
B. | 80.05 cm<sup>3</sup> |
C. | 150 cm<sup>3</sup> |
D. | 89.4 cm<sup>3</sup> |
Answer» C. 150 cm<sup>3</sup> | |
10. |
Find the surface area of the given solid which is in the form of a cone mounted on a hemisphere. The radius and height of the cone are 5cm and 12cm. |
A. | 214.4 cm<sup>2</sup> |
B. | 279.53 cm<sup>2</sup> |
C. | 70 cm<sup>2</sup> |
D. | 72.5 cm<sup>2</sup> |
Answer» C. 70 cm<sup>2</sup> | |