# 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 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.

 4cm9cm1. Find the total surface area of this cylinder (including top and bottom) if it has a radius of 4cm and a height of 9cm. cm2 10mm17mm2. Find the surface area of this cylinder if it has a radius of 10mm and a length of 17mm. mm2 17cm15cm3. The height of this cylinder is 15cm and its radius is 17cm. What is its surface area? cm2 2cm28mm4. Find the surface area of this cylinder in cubic milimetres if it has a radius of 2cm and a length of 28mm. mm2 6mm20mm5. Find the surface area of this cylinder if it has a diameter of 6mm and a height of 20mm. mm2 95.6cm47.8cm6. The diameter of this cylinderical dish is 95.6cm and its height of 47.8cm. Find the dish's surface area. cm2 107.8cm54cm7. The diameter of this cylinderical tin is 107.8cm and its height of 54cm. Find the tin's surface area. cm2 6.6cm8. The radius of this cylindrical disc is 6.6cm. Find its thickness if its surface area is 498cm2. cm 85mm9. The radius of this cylindrical block is 85mm. Find its height in milimetres if its surface area is 748cm2. mm 15.2cm10. The diameter of this cylinder is 15.2cm. Find its length if its surface area is 563cm2. cm
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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.

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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

• 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).

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## Curriculum Reference

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

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