Volume

Practice sheet

Fresh questions from the whole chapter, to do on paper.

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  1. Find the volume of a cylinder with radius 3 cm and height 4 cm (exact, in terms of π).Not to scale
  2. A prism has a triangular base with base 2 cm and height 7 cm, and the prism is 7 cm long. Find its volume (cm³).Not to scale
  3. A cylinder of radius 5 cm has volume 175π175\pi cm³. Find its height (cm).Not to scale
  4. Find the volume of a cone with radius 6 cm and height 6 cm (exact, in terms of π).Not to scale
  5. A pyramid has a square base of side 4 m and height 15 m. Find its volume (m³).Not to scale
  6. A cone and a cylinder have the same radius 5 and the same height. What fraction of the cylinder's volume is the cone's?
  7. Find the volume of a sphere of radius 5 cm (exact, in terms of π).Not to scale
  8. A block has mass 526 g and volume 27 cm³. Find its density (g/cm³).
  9. Find the volume of a hemisphere (half a ball) of radius 3 cm (exact, in terms of π).
  10. A box really holds 400 cups, but a label says 520. What is the percent error?
  11. A board is really 36 cm long, but Ana measures 40 cm. What is her percent error?
  12. A bag should hold 600 g of rice, with at most 7% error. What is the smallest allowed mass (g)?