A cylindrical motor of height 12cm has uniform thickness of 2cm. If the diameter of its outer cross section is 10cm, Find the volume of the constituent material. (take (pi) = (frac{22}{7})
-
A.
(frac{6600}{7})cm3 -
B.
270cm3 -
C.
660cm3 -
D.
(frac{4224}{7})cm3 -
E.
(frac{1980}{7})cm3
Correct Answer: Option D
Explanation
V = (pi)r2h
= (frac{22}{7}) x 52 x 12 – (frac{22}{7}) x 32 x 12
= (frac{22}{7}) x 12(52 – 32)
= (frac{4224}{7})