Find the Exact Value 4/3pi*6^3

$\frac{4}{3} π \cdot 6^{3}$

Step 1

Combine $\frac{4}{3}$ and $π$ .

$\frac{4 π}{3} \cdot 6^{3}$

Step 2

Raise $6$ to the power of $3$ .

$\frac{4 π}{3} \cdot 216$

Step 3

Cancel the common factor of $3$ .

Factor $3$ out of $216$ .

$\frac{4 π}{3} \cdot (3 (72))$

Cancel the common factor.

$\frac{4 π}{3} \cdot (3 \cdot 72)$

Rewrite the expression.

$4 π \cdot 72$

$4 π \cdot 72$

Step 4

Multiply $72$ by $4$ .

$288 π$

Step 5

The result can be shown in multiple forms.

Exact Form:

$288 π$

Decimal Form:

$904.77868423 \dots$

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