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Oak MathsTest · Maths

The surface area of a sphere

The starter and exit quiz of the lesson “The surface area of a sphere”, from the unit “2D and 3D shape: surface area and volume (pyramids, spheres and cones)” (Year 11 Maths) by Oak National Academy.

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Oak National Academy

12 questions

  1. Match each letter to the name of the shape.
  2. Which calculation gives the surface area of a cylinder of radius 2 cm and height 9 cm?
  3. The area of a circle is 19.6 cm². What is the radius of the circle? Give your answer correct to 1 decimal place.
  4. A cylinder has a radius of 3 mm and a height of 10 mm. The volume of the cylinder, in terms of \pi, is ___\pi mm³.
  5. A cylinder has a radius of 3 mm and a height of 10 mm. The surface area of the cylinder, in terms of \pi, is ___\pi mm².
  6. The volume of a cube is 125 cm³. The surface area of the cube is ___ cm².
  7. Which of these 3D shapes is a sphere?
  8. Complete the formula for the surface area of a sphere, with a radius of r: surface area = ___\pi r^2.
  9. Match each sphere to its surface area.
  10. A sphere has a surface area of 196𝜋 m². The radius of the sphere is ___ m.
  11. The radius of this hemisphere is 6 cm. Work out the total surface area of the hemisphere. Give your answer correct to 3 significant figures.
  12. The total surface area of this hemisphere is 192𝜋 cm². The radius of the hemisphere is ___ cm.

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The surface area of a sphere · Examplary