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
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
V = \(\pi\)r2h
= \(\frac{22}{7}\) x 52 x 12 - \(\frac{22}{7}\) x 32 x 12
= \(\frac{22}{7}\) x 12(52 - 32)
= \(\frac{4224}{7}\)
Source: Myschool Past Questions Archive (Record #32641)