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

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.

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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