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
\(\frac{4}{3}\pi h^3\)
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
Volume of a cone = \(\frac{\pi r^2 h}{3}\)
r = 2h.
V = \(\frac{\pi \times (2h)^2 \times h}{3}\)
= \(\frac{4}{3} \pi h^3\)
Source: Myschool Past Questions Archive (Record #26613)