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 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.

6cm

13cm

1. Find the volume of this cylinder if it has a radius of 6cm and a height of 13cm.

cm3 Correct Wrong

13mm

24mm

2. Find the volume of this cylinder if it has a radius of 13mm and a length of 24mm.

mm3 Correct Wrong

16cm

14cm

3. The height of this cylinder is 14cm and its radius is 16cm. What is its volume?

cm3 Correct Wrong

6cm

63mm

4. Find the volume of this cylinder in cubic milimetres if it has a radius of 6cm and a length of 63mm.

mm3 Correct Wrong

6mm

22mm

5. Find the volume of this cylinder if it has a diameter of 6mm and a height of 22mm.

mm3 Correct Wrong

92cm

46cm

6. The diameter of this cylinderical dish is 92cm and its height of 46cm. Find the dish's capacity.

cm3 Correct Wrong

92.2cm

46.2cm

7. The diameter of this cylinderical tin is 92.2cm and its height of 46.2cm. Find the tin's capacity.

cm3 Correct Wrong

5.7cm

8. The radius of this cylindrical disc is 5.7cm. Find its thickness if its volume is 459cm3.

cm Correct Wrong

68mm

9. The radius of this cylindrical block is 68mm. Find its height in milimetres if its volume is 1220cm3.

mm Correct Wrong

7.6cm

10. The diameter of this cylinder is 7.6cm. Find its length if its volume is 191cm3.

cm Correct Wrong

4.61cm

11. The height of this cylinder is 4.61cm. Find its radius if its volume is 666cm3.

cm Correct Wrong

87.9mm

12. The length of this cylinder is 87.9mm. Calculate its diameter in milimetres if its volume is 607cm3.

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.

Why am I learning this?

Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician?

Comment recorded on the 14 September 'Starter of the Day' page by Trish Bailey, Kingstone School:

"This is a great memory aid which could be used for formulae or key facts etc - in any subject area. The PICTURE is such an aid to remembering where each number or group of numbers is - my pupils love it!
Thanks"

Comment recorded on the 19 October 'Starter of the Day' page by E Pollard, Huddersfield:

"I used this with my bottom set in year 9. To engage them I used their name and favorite football team (or pop group) instead of the school name. For homework, I asked each student to find a definition for the key words they had been given (once they had fun trying to guess the answer) and they presented their findings to the rest of the class the following day. They felt really special because the key words came from their own personal information."

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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

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.

Log in Sign up

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