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A right circular cone is such that its radius r... - WAEC Mathematics 2003 Question

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 option: d

Volume of a cone = \(\frac{\pi r^2 h}{3}\)

r = 2h.

V = \(\frac{\pi \times (2h)^2 \times h}{3}\)

= \(\frac{4}{3} \pi h^3\)

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