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A cylinder pipe, made of metal is 3cm thick.If the internal radius of the pipe...

Mathematics
JAMB 2021

A cylinder pipe, made of metal is 3cm thick.If the internal radius of the pipe is 10cm.Find the volume of metal used in making 3m of the pipe.

  • A. 153\(\pi\)cm3
  • B. 207\(\pi\)cm3
  • C. 15 300\(\pi\)cm3
  • D. 20 700\(\pi\)cm3
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Correct Answer: Option D
Explanation

Volume of a cylinder = πr\(^2\)h

First convert 3m to cm by multiplying by 100

Volume of External cylinder = \(π \times 13^2 \times 300\)

Volume of Internal cylinder = \(π \times 10^2 \times 300\)

Hence; Volume of External cylinder - Volume of Internal cylinder

Total volume (v) = \(π (169 - 100) \times 300\)

V = \(π \times 69 \times 300\)

V = 20700πcm\(^3\)

There is an explanation video available below.


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Explanation Video

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