Question

A metallic sphere of radius 4.2 cm is melted and recast into the shape of a cylinder of
radius 6 cm. Find the height of the cylinder.

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Answer 1

Answer:

$volume \: of \: sphere \: = \: volume \: of \: cylinder$

$\frac{4}{3} \pi {r}^{3} = \pi {r}^{2} h$

$\frac{4}{3} \times {4.2}^{3} = {6}^{2} \times h$

$h = 2.74cm$

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