Mathematics
WAEC 2003
A right circular cone is such that its radius r is twice its height h. Find its volume in terms of h
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A.
\(\frac{2}{3}\pi h^2\)
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B.
\(\frac{1}{12}\pi h^3\)
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C.
\(\frac{4}{3}\pi h^2\)
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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 = \(\frac{\pi \times (2h)^2 \times h}{3}\)
= \(\frac{4}{3} \pi h^3\)
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