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Maths (Foundation)
2D and 3D shape: surface area and volume (pyramids, spheres and cones)

Starter quiz

  • Match each measurement to the correct formula.
    • Surface area of a sphere
      ⇔
      4 \pi r^2 ✓
    • Volume of a sphere
      ⇔
      \frac{4}{3} \pi r^3 ✓
    • Surface area of a cylinder
      ⇔
      2 \pi rh + 2 \pi r^2 ✓
    • Volume of a cylinder
      ⇔
      \pi r^2 h ✓
  • Work out the volume of a sphere with radius 1.4 m. Give your answer correct to 2 decimal places.
    • 8.21 m³
    • 11.49 m³  ✓
    • 25.86 m³
    • 34.48 m³
  • A sphere has a radius of 9 mm. The volume of the sphere, in terms of 𝜋, is ______𝜋 mm³.
    • '972' ✓
  • Which of these calculations finds the volume of a hemisphere with a radius of 6 cm?
    • \frac{4}{3} \times \pi \times 6^3 \div 2  ✓
    • \frac{1}{2} \times \frac{4}{3} \times \pi \times 6^3  ✓
    • \frac{4}{3} \times \pi \times 3^3 \div 2
    • \frac{2}{6} \times \pi \times 6^3
    • \frac{2}{3} \times \pi \times 6^3  ✓
  • The volume of a hemisphere with a radius of 6 cm, in terms of \pi, is ______\pi cm³.
    • '144' ✓
  • The volume of a hemisphere is 1152𝜋 cm³. The surface area of the hemisphere, in terms of 𝜋, is <span class="blank">______</span>𝜋 cm².
    The volume of a hemisphere is 1152𝜋 cm³. The surface area of the hemisphere, in terms of 𝜋, is ______𝜋 cm².
    • '432' ✓
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