Evaluate the Function V(3)=4/3pir^3

$V (3) = \frac{4}{3} π r^{3}$

Replace the variable $r$ with $3$ in the expression.

$V (3) = \frac{4}{3} \cdot (π {(3)}^{3})$

Simplify the result.

Cancel the common factor of $3$ .

Factor $3$ out of $π {(3)}^{3}$ .

$V (3) = \frac{4}{3} \cdot (3 (π \cdot 3^{2}))$

Cancel the common factor.

$V (3) = \frac{4}{3} \cdot (3 (π \cdot 3^{2}))$

Rewrite the expression.

$V (3) = 4 \cdot (π \cdot 3^{2})$

Simplify the expression.

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

$V (3) = 4 \cdot (π \cdot 9)$

Move $9$ to the left of $π$ .

$V (3) = 4 \cdot (9 \cdot π)$

Multiply $9$ by $4$ .

$V (3) = 36 π$

The final answer is $36 π$ .

$36 π$

The result can be shown in multiple forms.

Exact Form:

$36 π$

Decimal Form:

$113.09733552 \dots$