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A cone has volume $462 cm^{3}$ and height 9 cm. Find its base radius. (Use π = $\frac{22}{7}$ )

Class 9Volume of a ConeMensuration

A7 cm
B14 cm
C21 cm
D11 cm

Step-by-Step Solution

462 = \frac{1}{3} (\frac{22}{7}) r^{2} (9) = (\frac{22}{7}) (3) r^{2} = (\frac{66}{7}) r^{2} \Rightarrow r^{2} = 462 \times 7/66 = 49 \Rightarrow r = 7 cm

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Answer: A) 7 cm

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