# Cylinders

## Apply formulae for the volumes and surface areas of cylinders to answer a wide variety of questions

##### Level 1Level 2Level 3Exam-StyleDescriptionHelpMore 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.

 3cm8cm1. Find the volume of this cylinder if it has a radius of 3cm and a height of 8cm. cm3 8mm14mm2. Find the volume of this cylinder if it has a radius of 8mm and a length of 14mm. mm3 16cm11cm3. The height of this cylinder is 11cm and its radius is 16cm. What is its volume? cm3 4cm45mm4. Find the volume of this cylinder in cubic milimetres if it has a radius of 4cm and a length of 45mm. mm3 6mm25mm5. Find the volume of this cylinder if it has a diameter of 6mm and a height of 25mm. mm3 98.2cm49.1cm6. The diameter of this cylinderical dish is 98.2cm and its height of 49.1cm. Find the dish's capacity. cm3 76.2cm38.2cm7. The diameter of this cylinderical tin is 76.2cm and its height of 38.2cm. Find the tin's capacity. cm3 5.6cm8. The radius of this cylindrical disc is 5.6cm. Find its thickness if its volume is 217cm3. cm 55mm9. The radius of this cylindrical block is 55mm. Find its height in milimetres if its volume is 494cm3. mm 7.6cm10. The diameter of this cylinder is 7.6cm. Find its length if its volume is 186cm3. cm 4.61cm11. The height of this cylinder is 4.61cm. Find its radius if its volume is 1140cm3. cm 59.5mm12. The length of this cylinder is 59.5mm. Calculate its diameter in milimetres if its volume is 331cm3. mm
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.

## More Activities:

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 8 May 'Starter of the Day' page by Mr Smith, West Sussex, UK:

"I am an NQT and have only just discovered this website. I nearly wet my pants with joy.
To the creator of this website and all of those teachers who have contributed to it, I would like to say a big THANK YOU!!! :)."

Comment recorded on the 1 February 'Starter of the Day' page by M Chant, Chase Lane School Harwich:

"My year five children look forward to their daily challenge and enjoy the problems as much as I do. A great resource - thanks a million."

Each month a newsletter is published containing details of the new additions to the Transum website and a new puzzle of the month.

The newsletter is then duplicated as a podcast which is available on the major delivery networks. You can listen to the podcast while you are commuting, exercising or relaxing.

Transum breaking news is available on Twitter @Transum and if that's not enough there is also a Transum Facebook page.

##### Featured Activity

This spectacular magic trick never fails to amaze people of all ages assuming they can add and subtract very simple numbers. The mathematics comes in finding out how the trick works.

There are answers to this exercise but they are available in this space to teachers, tutors and parents who have logged in to their Transum subscription on this computer.

A Transum subscription unlocks the answers to the online exercises, quizzes and puzzles. It also provides the teacher with access to quality external links on each of the Transum Topic pages and the facility to add to the collection themselves.

Subscribers can manage class lists, lesson plans and assessment data in the Class Admin application and have access to reports of the Transum Trophies earned by class members.

Subscribe

## Go Maths

Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school.

## Maths Map

Are you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic.

## 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:

Alternatively, if you use Google Classroom, all you have to do is click on the green icon below in order to add this activity to one of your classes.

It may be worth remembering that if Transum.org should go offline for whatever reason, there is a mirror site at Transum.info that contains most of the resources that are available here on Transum.org.

When planning to use technology in your lesson always have a plan B!

Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.

For Students:

For All:

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

## Description of Levels

Close

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

• 1 - 4. Find volume given height and radius
• 5 - 7. Find volume given height and diameter
• 8 - 9. Find height given volume and radius
• 10. Find height given volume and diameter
• 11. Find radius given volume and height
• 12. Find diameter given volume and height

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

• 1 - 4. Find surface area given height and radius
• 5 - 7. Find surface area given height and diameter
• 8 - 9. Find height given surface area and radius
• 10. Find height given surface area and diameter

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.

## Curriculum Reference

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

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.

Close