# The volume of a sphere is 36pi i n^3. What is the radius of the sphere?

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Jun 8, 2016

$3$ inch

#### Explanation:

We know that volume $V$ of a sphere of radius $r$ is given by the expression

$V = \frac{4}{3} \pi {r}^{3}$
Equating to the given value and solving for $r$
$36 \pi = \frac{4}{3} \pi {r}^{3}$
$\implies {r}^{3} = 36 \pi \times \frac{3}{4 \pi}$
or ${r}^{3} = 27$
Taking cube root of both sides

$r = 3$ inch

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