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Cylinders worksheet

10 GCSE practice questions with answers, free to print. Every sheet is generated, so you can make a fresh one whenever you need it.

10 questions 34 marks Sheet 1
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  1. 2 marks

    Here is a solid cylinder.

    A cylinder drawn in isometric projection, with a radius of 3 cm marked across the top face and a height of 6 cm marked up the side6 cm3 cm

    The radius of the cylinder is \(3\) cm and its height is \(6\) cm.

    Work out the volume of the cylinder. Give your answer in terms of \(\pi\).

  2. 4 marks

    A tin of soup is in the shape of a cylinder.

    A cylinder drawn in isometric projection, with a diameter of 14 cm marked right across the top face and a height of 16 cm marked up the side16 cm14 cm

    The tin has a diameter of \(14\) cm and a height of \(16\) cm.

    (a)

    Work out the volume of the tin. Give your answer to 1 decimal place.

    (b)

    \(1\) litre \(= 1000\) cm³.

    Work out how many litres the tin holds when it is full. Give your answer to 2 decimal places.

  3. 5 marks

    The diagram shows a solid cylinder of radius \(6\) cm and height \(13\) cm.

    A cylinder drawn in isometric projection, with a radius of 6 cm marked across the top face and a height of 13 cm marked up the side13 cm6 cm
    (a)

    Work out the curved surface area of the cylinder. Give your answer in terms of \(\pi\).

    (b)

    Work out the total surface area of the cylinder. Give your answer in terms of \(\pi\).

  4. 3 marks

    The diagram shows a cylinder with radius \(4\) cm and height \(h\) cm.

    A cylinder drawn not to scale, with a radius of 4 cm marked across the top face and its height marked h cm up the sideh cm4 cmDiagram NOT accurately drawn

    The volume of the cylinder is \(240\pi\) cm³.

    Find the value of \(h\).

  5. 3 marks

    Here is a cylinder with radius \(r\) cm and height \(17\) cm.

    A cylinder drawn not to scale, with its radius marked r cm across the top face and a height of 17 cm marked up the side17 cmr cmDiagram NOT accurately drawn

    The volume of the cylinder is \(153\pi\) cm³.

    Find the value of \(r\).

  6. 2 marks

    Here is a solid cylinder.

    A cylinder drawn in isometric projection, with a radius of 4 cm marked across the top face and a height of 9 cm marked up the side9 cm4 cm

    The radius of the cylinder is \(4\) cm and its height is \(9\) cm.

    Find the volume of the cylinder. Give your answer in terms of \(\pi\).

  7. 4 marks

    A drum of cooking oil is in the shape of a cylinder.

    A cylinder drawn in isometric projection, with a diameter of 22 cm marked right across the top face and a height of 20 cm marked up the side20 cm22 cm

    The drum has a diameter of \(22\) cm and a height of \(20\) cm.

    (a)

    Find the volume of the drum. Give your answer correct to 1 decimal place.

    (b)

    \(1\) litre \(= 1000\) cm³.

    Calculate how many litres the drum holds when it is full. Give your answer correct to 2 decimal places.

  8. 5 marks

    The diagram shows a solid cylinder of radius \(2\) cm and height \(4\) cm.

    A cylinder drawn in isometric projection, with a radius of 2 cm marked across the top face and a height of 4 cm marked up the side4 cm2 cm
    (a)

    Find the curved surface area of the cylinder. Give your answer in terms of \(\pi\).

    (b)

    Find the total surface area of the cylinder. Give your answer in terms of \(\pi\).

  9. 3 marks

    The diagram shows a cylinder with radius \(4\) cm and height \(h\) cm.

    A cylinder drawn not to scale, with a radius of 4 cm marked across the top face and its height marked h cm up the sideh cm4 cmDiagram NOT accurately drawn

    The volume of the cylinder is \(288\pi\) cm³.

    Find the value of \(h\).

  10. 3 marks

    The diagram shows a cylinder with radius \(r\) cm and height \(24\) cm.

    A cylinder drawn not to scale, with its radius marked r cm across the top face and a height of 24 cm marked up the side24 cmr cmDiagram NOT accurately drawn

    The volume of the cylinder is \(96\pi\) cm³.

    Find the value of \(r\).

Answers

  1. \(54\pi\ \text{cm}^3\)
  2. (a) \(2463.0\ \text{cm}^3\)
    (b) \(2.46\ \text{litres}\)
  3. (a) \(156\pi\ \text{cm}^2\)
    (b) \(228\pi\ \text{cm}^2\)
  4. \(15\ \text{cm}\)
  5. \(3\ \text{cm}\)
  6. \(144\pi\ \text{cm}^3\)
  7. (a) \(7602.7\ \text{cm}^3\)
    (b) \(7.60\ \text{litres}\)
  8. (a) \(16\pi\ \text{cm}^2\)
    (b) \(24\pi\ \text{cm}^2\)
  9. \(18\ \text{cm}\)
  10. \(2\ \text{cm}\)

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