AI generatedGeometry and measuresKS3 / GCSE

Volume of a composite solid

Volume of a composite solid.

  • Split a compound solid into familiar shapes.
  • Use perpendicular height for volume and slant height for a cone’s curved area.
  • Add volumes, or subtract a removed part. Give cubic units.

Example 1

A cylinder is topped with a hemisphere of the same radius. Find the total volume. Give an exact answer.

Cylinder with a hemisphere of the same radius2 cm5 cmDiagram not to scale
Add the cylinder and hemisphere volumes.Substitute the common radius and cylinder height.

Example 2

A cylinder is topped with a hemisphere of the same radius. Find the total volume. Give an exact answer.

Cylinder with a hemisphere of the same radius3 cm5 cmDiagram not to scale
Add the cylinder and hemisphere volumes.Substitute the common radius and cylinder height.

Your turn

Question 1

A cylinder is topped with a hemisphere of the same radius. Find the total volume. Give an exact answer.

Cylinder with a hemisphere of the same radius4 cm5 cmDiagram not to scale
Check answer
Add the cylinder and hemisphere volumes.Substitute the common radius and cylinder height.
Question 2

A cylinder is topped with a hemisphere of the same radius. Find the total volume. Give an exact answer.

Cylinder with a hemisphere of the same radius5 cm5 cmDiagram not to scale
Check answer
Add the cylinder and hemisphere volumes.Substitute the common radius and cylinder height.
Question 3

A cylinder is topped with a hemisphere of the same radius. Find the total volume. Give an exact answer.

Cylinder with a hemisphere of the same radius6 cm5 cmDiagram not to scale
Check answer
Add the cylinder and hemisphere volumes.Substitute the common radius and cylinder height.
Question 4

A cylinder is topped with a hemisphere of the same radius. Find the total volume. Give an exact answer.

Cylinder with a hemisphere of the same radius7 cm5 cmDiagram not to scale
Check answer
Add the cylinder and hemisphere volumes.Substitute the common radius and cylinder height.
Question 5

A cylinder is topped with a hemisphere of the same radius. Find the total volume. Give an exact answer.

Cylinder with a hemisphere of the same radius8 cm5 cmDiagram not to scale
Check answer
Add the cylinder and hemisphere volumes.Substitute the common radius and cylinder height.
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