Robinson Tuition
Grade 5 · Foundation and Higher · free GCSE maths worksheet

Volume of cylinders

Pi r squared times height.

14 original questions, 52 marks. Print the worksheet, mark it with the answers sheet, and use the solutions to see every step written out by hand.

Worksheet PDFWorked solutions PDFAnswers PDF

The questions

1

A cylinder has a radius of 5 cm and a height of 12 cm.

Work out the volume of the cylinder.

Give your answer correct to 3 significant figures.

3 marks
Show answer
942 cm³
2

A cylindrical tin has a diameter of 8 cm and a height of 10 cm.

Work out the volume of the tin.

Give your answer correct to 3 significant figures.

3 marks
Show answer
503 cm³
3

A solid cylinder stands on a table.

Looking down from above (the plan), the cylinder looks like a circle with diameter 10 cm.

Looking from the front (the elevation), the cylinder looks like a rectangle 10 cm wide and 14 cm tall.

Work out the volume of the cylinder. Give your answer correct to 3 significant figures.

3 marks
Show answer
1100 cm³
4

A cylindrical water butt has a radius of 25 cm and a height of 80 cm.

Work out the number of litres of water the water butt holds when it is full.

Give your answer to the nearest litre.

1 litre = 1000 cm3

4 marks
Show answer
157 litres
5

A solid cylinder has a radius of 6 cm and a height of 5 cm.

  1. Work out the volume of the cylinder. Give your answer in terms of π.
  2. Work out the total surface area of the cylinder. Give your answer in terms of π.
4 marks
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a) 180π cm³ b) 132π cm²
6

A tunnel is in the shape of half a cylinder lying on its flat face. The semicircular ends have radius 3 m and the tunnel is 20 m long.

Work out the volume of the tunnel. Give your answer in terms of π.

3 marks
Show answer
90π m³
7

A cylindrical tank has a radius of 30 cm and a height of 100 cm.

The tank is empty.

Water flows into the tank at a rate of 20 litres per minute.

Work out how long it takes to fill the tank completely.

Give your answer in minutes, correct to 1 decimal place.

1 litre = 1000 cm3

4 marks
Show answer
14.1 minutes
8

A metal pipe is a hollow cylinder 50 cm long. The outer radius of the pipe is 5 cm and the inner radius is 4 cm.

Work out the volume of metal used to make the pipe. Give your answer correct to 3 significant figures.

4 marks
Show answer
1410 cm³
9

A cylindrical can has a diameter of 7 cm and a height of 11 cm.

Soup is poured from a large pot containing 20 litres into the cans, filling each one completely.

Work out the greatest number of cans that can be filled completely.

1 litre = 1000 cm3

4 marks
Show answer
47
10

A cylinder has a volume of 1500 cm3 and a radius of 6 cm.

Work out the height of the cylinder.

Give your answer correct to 1 decimal place.

4 marks
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13.3 cm
11

A solid metal cylinder has radius 6 cm and height 10 cm. It is melted down and recast into a solid cylinder of radius 3 cm.

Work out the height of the new cylinder.

3 marks
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40 cm
12

A cylinder has a volume of 2000 cm3 and a height of 15 cm.

Work out the radius of the cylinder.

Give your answer correct to 1 decimal place.

4 marks
Show answer
6.5 cm
13

A solid metal cylinder has radius 2 cm and height 10 cm.

The density of the metal is 8 g/cm3.

Work out the mass of the cylinder. Give your answer correct to 3 significant figures.

4 marks
Show answer
1010 g
14

A cylindrical drinks dispenser has a radius of 20 cm and a height of 50 cm.

Priya wants to fill the dispenser completely with squash.

Squash is made by mixing cordial and water in the ratio 1 : 9 by volume.

Priya has 5.5 litres of cordial and an unlimited supply of water.

Does Priya have enough cordial to fill the dispenser? You must show your working.

1 litre = 1000 cm3

5 marks
Show answer
No - the dispenser holds 20000π ≈ 62.8 litres, which needs 62.8 ÷ 10 ≈ 6.28 litres of cordial, more than the 5.5 litres Priya has

Every question here is original and written by Robinson Tuition. The grade follows the Edexcel grade descriptors and suits AQA and OCR too; this is not an exam-board paper.

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