A right circular cone is such that its radius r is twice its height h. Find its volume in terms of h
-
A.
(frac{2}{3}pi h^2) -
B.
(frac{1}{12}pi h^3) -
C.
(frac{4}{3}pi h^2) -
D.
(frac{4}{3}pi h^3)
Correct Answer: Option D
Explanation
Volume of a cone = (frac{pi r^2 h}{3})
r = 2h.
V = (frac{pi times (2h)^2 times h}{3})
= (frac{4}{3} pi h^3)