MathsYears 10–11Geometry - Properties of Shapes

Volume of cones, spheres and pyramids

Calculate volume and surface area of cones, spheres, pyramids and frustums

What you'll learn

  1. 1

    Imagine a party hat 🎉 — that's a cone shape. Now picture a bouncy ball 🏀 — that's a sphere. And a pyramid like the ones in Egypt 🏛️.

  2. 2

    Which shape is like a party hat? 🎉

  3. 3

    Drag the slider to fill a cone with water 💧 — see how many cone-fulls fill a cylinder of the same height and base.

  4. 4

    Find the volume of a cone with base radius 3 cm and height 10 cm. Use π = 3.14.

  5. 5

    What is the volume of a cone with base area 12 cm² and height 9 cm?

  6. 6

    For a sphere 🏀, imagine filling it with tiny cubes. The formula is V = ⁴⁄₃ × π × r³ — that's 4/3 of π times the radius cubed.

  7. 7

    Find the volume of a sphere with radius 6 cm. Use π = 3.14.

  8. 8

    What is the volume of a sphere with radius 3 cm? (Use π = 3.14)

Practise Volume of cones, spheres and pyramids with Whizlo

Free AI-tutored lessons, unlimited practice questions, and progress tracking for ages 14–16. Aligned to the UK National Curriculum.