A cylinder pipe, made of metal is 3cm thick.If the internal radius of the pope is 10cm.Find the volume of metal used in making 3m of the pipe.
- 153\(\pi\)cm3
- 207\(\pi\)cm3
- 15 300\(\pi\)cm3
-
20 700\(\pi\)cm3
The correct answer is: 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\(^3\)