AI generatedGeometry and measuresKS3 / GCSE

Volume of a cone

Volume of a cone.

  • A prism has volume = cross-sectional area × length.
  • A cone or pyramid has one third of base area × perpendicular height.
  • Use cubic units and keep π exact when requested.

Example 1

Find the volume. Give an exact answer.

Cone, not to scaleNot to scale
Use the perpendicular height, not a sloping edge.Substitute the labelled dimensions. Keep π exact when it appears.

Example 2

Find the volume. Give an exact answer.

Cone, not to scaleNot to scale
Use the perpendicular height, not a sloping edge.Substitute the labelled dimensions. Keep π exact when it appears.

Your turn

Question 1

Find the volume. Give an exact answer.

Cone, not to scaleNot to scale
Check answer
Use the perpendicular height, not a sloping edge.Substitute the labelled dimensions. Keep π exact when it appears.
Question 2

Find the volume. Give an exact answer.

Cone, not to scaleNot to scale
Check answer
Use the perpendicular height, not a sloping edge.Substitute the labelled dimensions. Keep π exact when it appears.
Question 3

Find the volume. Give an exact answer.

Cone, not to scaleNot to scale
Check answer
Use the perpendicular height, not a sloping edge.Substitute the labelled dimensions. Keep π exact when it appears.
Question 4

Find the volume. Give an exact answer.

Cone, not to scaleNot to scale
Check answer
Use the perpendicular height, not a sloping edge.Substitute the labelled dimensions. Keep π exact when it appears.
Question 5

Find the volume. Give an exact answer.

Cone, not to scaleNot to scale
Check answer
Use the perpendicular height, not a sloping edge.Substitute the labelled dimensions. Keep π exact when it appears.