A sphere of radius rcm has the same volume as cylinder of radius 3cm and height 4cm. Find the value of r
-
A.
(frac{2}{3}) -
B.
2 -
C.
3 -
D.
6
Correct Answer: Option C
Explanation
Volume of sphere = Volume of cylinder
i.e. (frac{4}{3} pi r^3 = pi r^2 h)
(frac{4}{3} pi r^3 = pi times 3^2 times 4)
r3 = (frac{pi times 9 times 4 times 3}{4 pi})
r = 3(sqrt{27})
= 3