Find the Volume sphere (6)

 $\begin{array}{r} r = & 6 \end{array}$

Step 1

The volume of a sphere is equal to $\frac{4}{3}$ times Pi $π$ times the radius cubed.

$\frac{4}{3} \cdot π \cdot {(r a d i u s)}^{3}$

Step 2

Substitute the value of the radius $r = 6$ into the formula to find the volume of the sphere. Pi $π$ is approximately equal to $3.14$ .

$\frac{4}{3} \cdot π \cdot 6^{3}$

Step 3

Combine $\frac{4}{3}$ and $π$ .

$\frac{4 π}{3} \cdot 6^{3}$

Step 4

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

$\frac{4 π}{3} \cdot 216$

Step 5

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.

$4 π \cdot 72$

Step 6

Multiply $72$ by $4$ .

$288 π$

Step 7

The result can be shown in multiple forms.

Exact Form:

$288 π$

Decimal Form:

$904.77868423 \dots$