Shape and Space: More Practice

More practice on circle geometry, surface area and similarity, for once the required set is done.

8 questions, free, marked as you go with a worked explanation on every one.

What this covers

The questions

  1. A cylinder has radius 4 cm and height 12 cm. Find its volume in cubic centimetres (use π ≈ 3.14, round to the nearest whole number).
  2. A cube has side length 7 cm. Find its surface area in square centimetres.
  3. Two similar rectangles have a scale factor of 2.5. The smaller rectangle has an area of 16 cm². What is the area of the larger rectangle, in square centimetres?
  4. A cone has radius 6 cm and height 9 cm. Find its volume in cubic centimetres (V = 1/3 × π × r² × h, use π ≈ 3.14, round to the nearest whole number).
  5. A circle has diameter 20 cm. Find its circumference in centimetres (use π ≈ 3.14).
  6. Which formula gives the volume of a sphere of radius r?
  7. A cylinder has radius 3 cm and height 8 cm. Find its total surface area in square centimetres (use π ≈ 3.14, round to the nearest whole number).
  8. What is the sum of the interior angles in a pentagon?

Answer these free