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2021

Mathematics

JAMB

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.

153π cm3

B.

207π cm3

C.

15300π cm3

D.

20700π cm3

Correct Answer: 20700π cm3

Explanation

Volume of a cylinder = πr2h First convert 3 m to cm by multiplying by 100 Volume of External cylinder = π × 132 × 300 Volume of Internal cylinder = π × 102 × 300 Hence; Volume of External cylinder - Volume of Internal cylinder Total volume (v) = π(169 − 100) × 300 V = π × 69 × 300 V = 20700π cm3

Volume of a cylinder = πr2h First convert 3 m to cm by multiplying by 100 Volume of External cylinder = π × 132 × 300 Volume of Internal cylinder = π × 102 × 300 Hence; Volume of External cylinder - Volume of Internal cylinder Total volume (v) = π(169 − 100) × 300 V = π × 69 × 300 V = 20700π cm3
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