Mathematics Problems on Curved Surface Solids

1. A cylinder has a base radius of 7 cm and a height of 10 cm. Calculate the volume of the cylinder!

2. A cone has a base radius of 6 cm and a height of 8 cm. Calculate the lateral surface area of the cone!

3. A sphere has a diameter of 14 cm. Calculate the surface area of the sphere!

4. A cylinder has a volume of 1540 cm³ and a base radius of 7 cm. Calculate the height of the cylinder!

5. A cone has a volume of 308 cm³ and a height of 6 cm. Calculate the base radius of the cone!

6. A sphere has a surface area of 616 cm². Calculate the volume of the sphere!

7. An open cylinder (without a top) has a base radius of 5 cm and a height of 12 cm. Calculate the surface area of the cylinder!

8. A cone is cut parallel to its base, forming a frustum. If the radius of the larger base of the frustum is 10 cm, the radius of the smaller base is 5 cm, and the height of the frustum is 12 cm, calculate the volume of the frustum!

9. Two spheres have radii of 3 cm and 6 cm, respectively. Determine the ratio of the volumes of the two spheres!

10. A drum in the shape of a cylinder with a radius of 35 cm and a height of 120 cm is full of water. If the water is to be poured into cone-shaped buckets with a radius of 7 cm and a height of 15 cm, how many buckets are needed?

Hopefully this is useful! 😊

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