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Given that the volume of a cone is ${2355 cm}^{3}$ and the area of its base is $314 {cm}^{2}$ . Its height is

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25.2 cm

22.5 cm

25.5 cm

52.5 cm

answer is B.

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Detailed Solution

Given for a cone $v = 2355$ and $π r^{2} = 314 {cm}^{2}$

$\Rightarrow \frac{1}{3} π r^{2} h = 2355$

$\Rightarrow (\frac{1}{3}) 314. h = 2355$

$\Rightarrow h = \frac{2355 \times 3}{314} = 22.5 c m$

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