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Volume of a sphere

Question

A solid metallic cone of radius $2 c m$ and height $8 c m$ is melted into sphere. Find the radius of the sphere.

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Solution

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According to the question,
$\frac{1}{3} π r_{c}^{2} h = \frac{4}{3} π r_{s}^{3}$

Therefore,
$2^{2} \times 8 = 4 r_{s}^{3}$

$8 = r_{s}^{3}$

$r_{s}^{3} = 2^{3}$

$r_{s} = 2 c m$

Hence, this is the answer.

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