Question on: JAMB Mathematics - 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
Ask EduPadi AI for a detailed answer
Correct Option: D
Volume of a cylinder = πr\(^2\)h
Convert 3m to cm by multiplying by 100
Volume of exterior = \(π \times 13^2 \times 300\)
Volume of interior = \(π \times 10^2 \times 300\)
Difference: volume of the external cylinder - volume of the internal cylinder
Total volume (v) = \(Ï€ (169 - 100) \times 300\)
V = \(Ï€ \times 69 \times 300\)
V = 20700Ï€cm\(^3\)
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