# 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.

 6cm13cm1. Find the volume of this cylinder if it has a radius of 6cm and a height of 13cm. cm3 12mm23mm2. Find the volume of this cylinder if it has a radius of 12mm and a length of 23mm. mm3 15cm14cm3. The height of this cylinder is 14cm and its radius is 15cm. What is its volume? cm3 3cm38mm4. Find the volume of this cylinder in cubic milimetres if it has a radius of 3cm and a length of 38mm. mm3 5mm18mm5. Find the volume of this cylinder if it has a diameter of 5mm and a height of 18mm. mm3 107.4cm53.7cm6. The diameter of this cylinderical dish is 107.4cm and its height of 53.7cm. Find the dish's capacity. cm3 67cm33.6cm7. The diameter of this cylinderical tin is 67cm and its height of 33.6cm. Find the tin's capacity. cm3 6.5cm8. The radius of this cylindrical disc is 6.5cm. Find its thickness if its volume is 557cm3. cm 87mm9. The radius of this cylindrical block is 87mm. Find its height in milimetres if its volume is 1470cm3. mm 8.7cm10. The diameter of this cylinder is 8.7cm. Find its length if its volume is 244cm3. cm 4.81cm11. The height of this cylinder is 4.81cm. Find its radius if its volume is 896cm3. cm 80.8mm12. The length of this cylinder is 80.8mm. Calculate its diameter in milimetres if its volume is 678cm3. mm
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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.

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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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