Evaluate 4/3pi12^3

$\frac{4}{3} \cdot π \cdot 12^{3}$

Step 1

Combine $\frac{4}{3}$ and $π$ .

$\frac{4 π}{3} \cdot 12^{3}$

Step 2

Raise $12$ to the power of $3$ .

$\frac{4 π}{3} \cdot 1728$

Step 3

Cancel the common factor of $3$ .

Factor $3$ out of $1728$ .

$\frac{4 π}{3} \cdot (3 (576))$

Cancel the common factor.

$\frac{4 π}{3} \cdot (3 \cdot 576)$

Rewrite the expression.

$4 π \cdot 576$

$4 π \cdot 576$

Step 4

Multiply $576$ by $4$ .

$2304 π$

Step 5

The result can be shown in multiple forms.

Exact Form:

$2304 π$

Decimal Form:

$7238.22947387 \dots$

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