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.

8cm

18cm

1. Find the total surface area of this cylinder (including top and bottom) if it has a radius of 8cm and a height of 18cm.

cm2 Correct Wrong

13mm

23mm

2. Find the surface area of this cylinder if it has a radius of 13mm and a length of 23mm.

mm2 Correct Wrong

14cm

10cm

3. The height of this cylinder is 10cm and its radius is 14cm. What is its surface area?

cm2 Correct Wrong

2cm

25mm

4. Find the surface area of this cylinder in cubic milimetres if it has a radius of 2cm and a length of 25mm.

mm2 Correct Wrong

5mm

21mm

5. Find the surface area of this cylinder if it has a diameter of 5mm and a height of 21mm.

mm2 Correct Wrong

91.6cm

45.8cm

6. The diameter of this cylinderical dish is 91.6cm and its height of 45.8cm. Find the dish's surface area.

cm2 Correct Wrong

75.6cm

37.9cm

7. The diameter of this cylinderical tin is 75.6cm and its height of 37.9cm. Find the tin's surface area.

cm2 Correct Wrong

6.5cm

8. The radius of this cylindrical disc is 6.5cm. Find its thickness if its surface area is 355cm2.

cm Correct Wrong

77mm

9. The radius of this cylindrical block is 77mm. Find its height in milimetres if its surface area is 779cm2.

mm Correct Wrong

13.4cm

10. The diameter of this cylinder is 13.4cm. Find its length if its surface area is 497cm2.

cm Correct Wrong
Check

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.

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 10 April 'Starter of the Day' page by Mike Sendrove, Salt Grammar School, UK.:

"A really useful set of resources - thanks. Is the collection available on CD? Are solutions available?"

Comment recorded on the 28 May 'Starter of the Day' page by L Smith, Colwyn Bay:

"An absolutely brilliant resource. Only recently been discovered but is used daily with all my classes. It is particularly useful when things can be saved for further use. Thank you!"

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© Transum Mathematics :: This activity can be found online at:
www.Transum.org/go/?Num=772

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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