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Year 7 maths · X.5 · Volume and Surface Area

Volume of a prism from base area and height

Find the area of the base, then multiply by the height. A cone takes one third of that. For a sphere, use ⁴⁄₃πr³. Keep π as a symbol.

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  1. A sphere has a radius of 9 cm. Find its volume. Write it as a multiple of π (for example 36π).

    Answer: 972π cm³

  2. A sphere has a radius of 3 cm. Find its volume. Write it as a multiple of π (for example 36π).

    Answer: 36π cm³

  3. A sphere has a radius of 6 cm. Find its volume. Write it as a multiple of π (for example 36π).

    Answer: 288π cm³

Tip: Find the area of the base, then multiply by the height. A cone takes one third of that. For a sphere, use ⁴⁄₃πr³. Keep π as a symbol.

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