Evaluate 1/(4pi(3)^2)*180pi

$\frac{1}{4 π {(3)}^{2}} \cdot 180 π$

Simplify the denominator.

Raise $3$ to the power of $2$ .

$\frac{1}{4 π \cdot 9} \cdot (180 π)$

Multiply $9$ by $4$ .

$\frac{1}{36 π} \cdot (180 π)$

$\frac{1}{36 π} \cdot (180 π)$

Cancel the common factor of $36 π$ .

Factor $36 π$ out of $180 π$ .

$\frac{1}{36 π} \cdot (36 π (5))$

Cancel the common factor.

$\frac{1}{36 π} \cdot (36 π \cdot 5)$

Rewrite the expression.

$5$

$5$

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