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The volume of a cylinder shaped solid is 1584 $c m^{3}$ and its height is 14 cm. Then, its radius is ____.

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Detailed Solution

The volume of a cylinder shaped solid is 1584

c m^{3}

and its height is 14 cm. Then, its radius is 6 cm.
Given, the volume of a cylinder shaped solid is 1584

c m^{3}

and its height is 14 cm.
We know that the volume of a cylinder is

π r^{2} h = 1584

π r^{2} (14) = 1584

r^{2} = \frac{1584}{14 π}

r^{2} = 36

r = \sqrt{36} = 6 cm

So, the radius is 6 cm.
Hence, the correct answer is 6 cm.

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