Pre-Algebra Examples

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

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

$\frac{4}{3} \cdot π \cdot π^{3}$

Step 3

Multiply $π$ by $π^{3}$ by adding the exponents.

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Step 3.1

Move $π^{3}$ .

$\frac{4}{3} \cdot (π^{3} π)$

Step 3.2

Multiply $π^{3}$ by $π$ .

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Step 3.2.1

Raise $π$ to the power of $1$ .

$\frac{4}{3} \cdot (π^{3} π^{1})$

Step 3.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{4}{3} \cdot π^{3 + 1}$

Step 3.3

Add $3$ and $1$ .

$\frac{4}{3} \cdot π^{4}$

Step 4

Combine $\frac{4}{3}$ and $π^{4}$ .

$\frac{4 π^{4}}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{4 π^{4}}{3}$

Decimal Form:

$129.87878804 \dots$