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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 find the height of a solid in the form of a right circular cylinder with a hemisphere at one end and a cone at the other end? |
A. | 4793 m<sup>3</sup> |
B. | 2763 m<sup>3</sup> |
C. | 2783 m<sup>3</sup> |
D. | 4783 m<sup>3</sup> |
Answer» D. 4783 m<sup>3</sup> | |
2. |
What is the C.S.A of resulting solid if two identical cubes are joined end to end together with the length of the sides of the cube is 4 m? |
A. | 160 cm<sup>2</sup> |
B. | 205.6 cm<sup>2</sup> |
C. | 168.23 cm<sup>2</sup> |
D. | 604 cm<sup>2</sup> |
Answer» B. 205.6 cm<sup>2</sup> | |
3. |
What is the formula to find the height of the tank consisting of a circular cylinder with a hemisphere attached on either end? |
A. | Radius of the cylinder + 2(height of the hemisphere) |
B. | Height of the cylinder + 2(height of the hemisphere) |
C. | Radius of the cylinder + 2(radius of the hemisphere) |
D. | Height of the cylinder + 2(radius of the hemisphere) |
Answer» E. | |
4. |
What is the skeletal formula to find the T.S.A of the tank consisting of a circular cylinder with a hemisphere attached on either end? |
A. | 2 rh + 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. | 2 rh + 2(2 r<sup>2</sup>) |
Answer» E. | |
5. |
Two cubes each of volume 64 cm3 are joined together. Find the volume of the resulting solid? |
A. | 152.76 cm<sup>3</sup> |
B. | 154 cm<sup>3</sup> |
C. | 256 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 8 cm are joined end to end? |
A. | 26 cm |
B. | 16 cm |
C. | 21 cm |
D. | 14 cm |
Answer» C. 21 cm | |
7. |
A solid is in the form of a cone mounted on a hemisphere. The radius and height of the cone are 3 m and 4 m. Find the volume of the given solid? |
A. | 93.21 m<sup>3</sup> |
B. | 94.21 m<sup>3</sup> |
C. | 84.21 m<sup>3</sup> |
D. | 82.21 m<sup>3</sup> |
Answer» C. 84.21 m<sup>3</sup> | |
8. |
A medicine capsule is in the form of a cylinder with two hemispheres joined together at the ends. Find the surface area if the length of the capsule is 14 mm and the width is 5 mm. |
A. | 219.8 mm<sup>2</sup> |
B. | 105 mm<sup>2</sup> |
C. | 115.4 mm<sup>2</sup> |
D. | 317.2 mm<sup>2</sup> |
Answer» B. 105 mm<sup>2</sup> | |
9. |
Two cubes each of volume 27 cm3 are joined together. Find the surface area of the resulting solid? |
A. | 109.4 cm<sup>2</sup> |
B. | 126 cm<sup>2</sup> |
C. | 150 cm<sup>2</sup> |
D. | 189.4 cm<sup>2</sup> |
Answer» C. 150 cm<sup>2</sup> | |
10. |
A solid is in the form of a cone mounted on a hemisphere. The radius and height of the cone are 3 m and 4 m. Find the surface area of the given solid. |
A. | 114.4 m<sup>2</sup> |
B. | 103.62 m<sup>2</sup> |
C. | 70 m<sup>2</sup> |
D. | 72.5 m<sup>2</sup> |
Answer» C. 70 m<sup>2</sup> | |