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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.

5cm

13cm

1. Find the volume of this cylinder if it has a radius of 5cm and a height of 13cm.

cm3 Correct Wrong

9mm

16mm

2. Find the volume of this cylinder if it has a radius of 9mm and a length of 16mm.

mm3 Correct Wrong

16cm

12cm

3. The height of this cylinder is 12cm and its radius is 16cm. What is its volume?

cm3 Correct Wrong

3cm

39mm

4. Find the volume of this cylinder in cubic milimetres if it has a radius of 3cm and a length of 39mm.

mm3 Correct Wrong

7mm

22mm

5. Find the volume of this cylinder if it has a diameter of 7mm and a height of 22mm.

mm3 Correct Wrong

96.4cm

48.2cm

6. The diameter of this cylinderical dish is 96.4cm and its height of 48.2cm. Find the dish's capacity.

cm3 Correct Wrong

89.6cm

44.9cm

7. The diameter of this cylinderical tin is 89.6cm and its height of 44.9cm. Find the tin's capacity.

cm3 Correct Wrong

7.7cm

8. The radius of this cylindrical disc is 7.7cm. Find its thickness if its volume is 987cm3.

cm Correct Wrong

59mm

9. The radius of this cylindrical block is 59mm. Find its height in milimetres if its volume is 886cm3.

mm Correct Wrong

8.6cm

10. The diameter of this cylinder is 8.6cm. Find its length if its volume is 261cm3.

cm Correct Wrong

4.65cm

11. The height of this cylinder is 4.65cm. Find its radius if its volume is 1100cm3.

cm Correct Wrong

68.8mm

12. The length of this cylinder is 68.8mm. Calculate its diameter in milimetres if its volume is 463cm3.

mm Correct Wrong
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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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Teachers

If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:

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© Transum Mathematics :: This activity can be found online at:
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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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