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Oak MathsTest · Maths

The volume of a sphere

The starter and exit quiz of the lesson “The volume 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. A ___ is a 3D shape, where every point on its surface is equidistant from the centre.
  2. Which of the following calculates the surface area of a sphere, with a radius of r?
  3. Match each sphere to its surface area.
  4. A sphere has a surface area of 9𝜋 m². The radius of the sphere is ___ m.
  5. The radius of this hemisphere is 20 cm. Work out the total surface area of the hemisphere. Give your answer correct to 3 significant figures.
  6. The total surface area of this hemisphere is 432𝜋 cm². The radius of the hemisphere is ___ cm.
  7. A sphere is a 3D shape, where every point on its surface is ___ from the centre.
  8. Work out the volume of a sphere with radius 2.5 m. Give your answer correct to 1 decimal place.
  9. A sphere has a radius of 6 mm. The volume of the sphere, in terms of 𝜋, is ___𝜋 mm³.
  10. Which of these calculations finds the volume of a hemisphere with a radius of 12 cm?
  11. The volume of a hemisphere with a radius of 12 cm, in terms of \pi, is ___\pi cm³.
  12. The volume of a hemisphere is 144𝜋 cm³. The surface area of the hemisphere, in terms of 𝜋, is ___𝜋 cm².

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The volume of a sphere · Examplary