Find the Volume sphere (15)

 $\begin{array}{r} r = & 15 \end{array}$

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 $r = 15$ into the formula to find the volume of the sphere. Pi $π$ is approximately equal to $3.14$ .

$\frac{4}{3} \cdot π \cdot 15^{3}$

Step 3

Combine $\frac{4}{3}$ and $π$ .

$\frac{4 π}{3} \cdot 15^{3}$

Step 4

Raise $15$ to the power of $3$ .

$\frac{4 π}{3} \cdot 3375$

Step 5

Cancel the common factor of $3$ .

Factor $3$ out of $3375$ .

$\frac{4 π}{3} \cdot (3 (1125))$

Cancel the common factor.

$\frac{4 π}{3} \cdot (3 \cdot 1125)$

Rewrite the expression.

$4 π \cdot 1125$

Step 6

Multiply $1125$ by $4$ .

$4500 π$

Step 7

The result can be shown in multiple forms.

Exact Form:

$4500 π$

Decimal Form:

$14137.16694115 \dots$