Cylinders

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Description of Levels

Level 1 - Applying the formula for the volume of a cylinder

1 - 4. Find volume given height and radius
5 - 7. Find volume given height and diameter
8 - 9. Find height given volume and radius
10. Find height given volume and diameter
11. Find radius given volume and height
12. Find diameter given volume and height

The numbers used in the questions in level 1 are randomly generated. This means you will get a different set of questions each time the page is loaded.

Level 2 - Applying the formula for the surface area of a cylinder

1 - 4. Find surface area given height and radius
5 - 7. Find surface area given height and diameter
8 - 9. Find height given surface area and radius
10. Find height given surface area and diameter

The numbers used in the questions in level 2 are randomly generated. This means you will get a different set of questions each time the page is loaded.

Level 3 - Mixed questions requiring the formulae for the volumes and surface areas of cylinders

Exam Style Questions - A collection of problems in the style of GCSE or IB/A-level exam paper questions (worked solutions are available for Transum subscribers).

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Curriculum Reference

See the National Curriculum page for links to related online activities and resources.

1. Though it does not look look very cylindrical in the photograph due to perspective, the glass is a cylinder. 200ml of cherry juice has been poured into the glass. The diameter of the glass is 7.8cm. How deep is the juice in the glass? [1ml = 1 cm³]	cm
2. The length of a cylindrical pipe is exactly 33 times its diameter. If the volume of the pipe is 23 litres calculate the pipe's diameter. [1 litre = 1000 cm³]	cm
3. A gold cylinder with a radius of 5cm and length 22.3cm is melted down then all of the gold is used to make a new cylinder with radius 10cm. Calculate the length of the new cylinder.	cm
1.86m 4. The length of the cylinder above is 1.86m. Calculate the cylinder's capacity in litres [1 litre = 1000 cm³] given that its radius is 65% of its length.	l
5. The surface area of a cylinder is 100m² and its length is twice its radius. Find the diameter of the cylinder in metres.	m
4.57cm 6. The height of the cylinder above is 4.57cm. Find its radius if its surface area is 95.8cm².	cm
7. Forty eight tins of baked beans are packed tightly together in a cardboard box. There are two layers of tins and each layer is arranged in a four by six rectangle. If the height of a tin is three times the radius and the volume of the box is 36.864 litres, calculate the capacity of one tin in cubic centimetres.	cm³
8. The photograph shows the 30,000m³ blast furnace gas holder at Rautaruukki Steel in Finland. It is a cylider and its height 10% longer than its diameter. It is time for the top and curved walls to be painted on the outside. Calculate the cost of repainting the gas holder if a 5 litre tin of paint costs £25 and covers 60 m². [Note that only whole tins of paint can be purchased so your answer should be a multiple of 25.]	£

Cylinders

Apply formulae for the volumes and surface areas of cylinders to answer a wide variety of questions

Level 1 Level 2 Level 3 Exam-Style Description Help More 3D Shapes

Instructions

More Activities:

Featured Activity

Strategy Games

Answers

Go Maths

Maths Map

Teachers

Description of Levels

Curriculum Reference