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Oak MathsTest · Maths

The surface area of a cone

The starter and exit quiz of the lesson “The surface area of a cone”, 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 measurement to the correct formula.
  2. Work out the volume of a sphere with radius 1.4 m. Give your answer correct to 2 decimal places.
  3. A sphere has a radius of 9 mm. The volume of the sphere, in terms of 𝜋, is ___𝜋 mm³.
  4. Which of these calculations finds the volume of a hemisphere with a radius of 6 cm?
  5. The volume of a hemisphere with a radius of 6 cm, in terms of \pi, is ___\pi cm³.
  6. The volume of a hemisphere is 1152𝜋 cm³. The surface area of the hemisphere, in terms of 𝜋, is ___𝜋 cm².
  7. Which of these diagrams is a cone?
  8. The curved surface of this cone is unfolded into a circular sector. Match each measurement to its value.
  9. Calculate the area of the curved surface of this cone. Give your answer correct to 3 significant figures.
  10. Calculate the total surface area of this cone. Give your answer correct to 3 significant figures.
  11. The slant length of this cone is ___ cm. Give your answer correct to 2 decimal places.
  12. The total surface area of this cone is ___ cm². Give your answer correct to 3 significant figures.

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The surface area of a cone · Examplary