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