AI generatedGeometry and measuresKS3 / GCSE

Surface area of a hemisphere

Surface area of a hemisphere.

  • Count every exposed face. State whether a flat base is included.
  • For a prism, use both end faces and the rectangular side faces.
  • Use squared units. A cone’s curved area uses slant height, not perpendicular height.

Example 1

Find the total surface area, including every base. Give an exact answer.

Hemisphere, not to scaleNot to scale
Curved area is 2πr²; include the flat circular base, πr², for total surface area.Substitute the labelled dimensions. Keep π exact when it appears.

Example 2

Find the total surface area, including every base. Give an exact answer.

Hemisphere, not to scaleNot to scale
Curved area is 2πr²; include the flat circular base, πr², for total surface area.Substitute the labelled dimensions. Keep π exact when it appears.

Your turn

Question 1

Find the total surface area, including every base. Give an exact answer.

Hemisphere, not to scaleNot to scale
Check answer
Curved area is 2πr²; include the flat circular base, πr², for total surface area.Substitute the labelled dimensions. Keep π exact when it appears.
Question 2

Find the total surface area, including every base. Give an exact answer.

Hemisphere, not to scaleNot to scale
Check answer
Curved area is 2πr²; include the flat circular base, πr², for total surface area.Substitute the labelled dimensions. Keep π exact when it appears.
Question 3

Find the total surface area, including every base. Give an exact answer.

Hemisphere, not to scaleNot to scale
Check answer
Curved area is 2πr²; include the flat circular base, πr², for total surface area.Substitute the labelled dimensions. Keep π exact when it appears.
Question 4

Find the total surface area, including every base. Give an exact answer.

Hemisphere, not to scaleNot to scale
Check answer
Curved area is 2πr²; include the flat circular base, πr², for total surface area.Substitute the labelled dimensions. Keep π exact when it appears.
Question 5

Find the total surface area, including every base. Give an exact answer.

Hemisphere, not to scaleNot to scale
Check answer
Curved area is 2πr²; include the flat circular base, πr², for total surface area.Substitute the labelled dimensions. Keep π exact when it appears.