Basic Math Examples

 $\begin{array}{r} r = & 3 \end{array}$

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 $r = 3$ into the formula to find the volume of the sphere. Pi $π$ is approximately equal to $3.14$ .

$\frac{4}{3} \cdot π \cdot 3^{3}$

Step 3

Combine $\frac{4}{3}$ and $π$ .

$\frac{4 π}{3} \cdot 3^{3}$

Step 4

Cancel the common factor of $3$ .

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Step 4.1

Factor $3$ out of $3^{3}$ .

$\frac{4 π}{3} \cdot (3 \cdot 3^{2})$

Step 4.2

Cancel the common factor.

$\frac{4 π}{3} \cdot (3 \cdot 3^{2})$

Step 4.3

Rewrite the expression.

$4 π \cdot 3^{2}$

Step 5

Simplify the expression.

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Step 5.1

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

$4 π \cdot 9$

Step 5.2

Multiply $9$ by $4$ .

$36 π$

Step 6

The result can be shown in multiple forms.

Exact Form:

$36 π$

Decimal Form:

$113.09733552 \dots$