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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

This is level 1: applying the formula for the volume of a cylinder. You can earn a trophy if you get at least 8 questions correct and you do this activity online. The diagrams are not to scale. All answers should be given to three significant figures.

7cm

15cm

1. Find the volume of this cylinder if it has a radius of 7cm and a height of 15cm.

cm3 Correct Wrong

16mm

31mm

2. Find the volume of this cylinder if it has a radius of 16mm and a length of 31mm.

mm3 Correct Wrong

17cm

14cm

3. The height of this cylinder is 14cm and its radius is 17cm. What is its volume?

cm3 Correct Wrong

2cm

28mm

4. Find the volume of this cylinder in cubic milimetres if it has a radius of 2cm and a length of 28mm.

mm3 Correct Wrong

3mm

12mm

5. Find the volume of this cylinder if it has a diameter of 3mm and a height of 12mm.

mm3 Correct Wrong

73.4cm

36.7cm

6. The diameter of this cylinderical dish is 73.4cm and its height of 36.7cm. Find the dish's capacity.

cm3 Correct Wrong

81cm

40.6cm

7. The diameter of this cylinderical tin is 81cm and its height of 40.6cm. Find the tin's capacity.

cm3 Correct Wrong

6.6cm

8. The radius of this cylindrical disc is 6.6cm. Find its thickness if its volume is 739cm3.

cm Correct Wrong

85mm

9. The radius of this cylindrical block is 85mm. Find its height in milimetres if its volume is 1180cm3.

mm Correct Wrong

7.6cm

10. The diameter of this cylinder is 7.6cm. Find its length if its volume is 240cm3.

cm Correct Wrong

5.99cm

11. The height of this cylinder is 5.99cm. Find its radius if its volume is 660cm3.

cm Correct Wrong

78.3mm

12. The length of this cylinder is 78.3mm. Calculate its diameter in milimetres if its volume is 509cm3.

mm Correct Wrong
Check

This is Cylinders level 1. You can also try:
Level 2 Level 3

Instructions

Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.

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Description of Levels

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

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

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).

More on this topic including lesson Starters, visual aids, investigations and self-marking exercises.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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Curriculum Reference

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

Cylinder Formulae

This video is from the talented Dr Frost

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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