19.5 Surface area and volume of spheres, cones and pyramids — Practise

1. A sphere has radius 3 cm. Work out its volume in terms of π.
2. A sphere has radius 5 cm. Work out its surface area in terms of π.
3. A cone has radius 3 cm and perpendicular height 8 cm. Work out its volume in terms of π.
4. A cone has radius 5 cm and slant height 13 cm. Work out its curved surface area in terms of π.
5. A square-based pyramid has base side 6 cm and perpendicular height 10 cm. Work out its volume.
6. A square-based pyramid has base side 6 cm. Each triangular face has perpendicular height 5 cm. Work out its surface area.
7. A cone has radius 6 cm and perpendicular height 8 cm. Work out its volume in terms of π. Explain how the circle area formula is used.
8. A sphere has volume 288π cm³. Work out its radius.