Transum Software

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 2: applying the formula for the surface area of a cylinder. You can earn a trophy if you get at least 7 questions correct and you do this activity online. The diagrams are not to scale. All answers should be given to three significant figures.

5cm

12cm

1. Find the total surface area of this cylinder (including top and bottom) if it has a radius of 5cm and a height of 12cm.

cm2 Correct Wrong

12mm

23mm

2. Find the surface area of this cylinder if it has a radius of 12mm and a length of 23mm.

mm2 Correct Wrong

18cm

15cm

3. The height of this cylinder is 15cm and its radius is 18cm. What is its surface area?

cm2 Correct Wrong

4cm

43mm

4. Find the surface area of this cylinder in cubic milimetres if it has a radius of 4cm and a length of 43mm.

mm2 Correct Wrong

8mm

27mm

5. Find the surface area of this cylinder if it has a diameter of 8mm and a height of 27mm.

mm2 Correct Wrong

100.8cm

50.4cm

6. The diameter of this cylinderical dish is 100.8cm and its height of 50.4cm. Find the dish's surface area.

cm2 Correct Wrong

71.6cm

35.9cm

7. The diameter of this cylinderical tin is 71.6cm and its height of 35.9cm. Find the tin's surface area.

cm2 Correct Wrong

5.9cm

8. The radius of this cylindrical disc is 5.9cm. Find its thickness if its surface area is 374cm2.

cm Correct Wrong

68mm

9. The radius of this cylindrical block is 68mm. Find its height in milimetres if its surface area is 551cm2.

mm Correct Wrong

15.6cm

10. The diameter of this cylinder is 15.6cm. Find its length if its surface area is 632cm2.

cm Correct Wrong
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This is Cylinders level 2. You can also try:
Level 1 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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