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.
- 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\(^3\)
There is an explanation video available .