Algebra Examples

$V = \frac{4}{3} π r^{3}$

Step 1

Rewrite the equation as $\frac{4}{3} \cdot (π r^{3}) = V$ .

$\frac{4}{3} \cdot (π r^{3}) = V$

Step 2

Simplify $\frac{4}{3} \cdot (π r^{3})$ .

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Step 2.1

Multiply $\frac{4}{3} (π r^{3})$ .

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Step 2.1.1

Combine $π$ and $\frac{4}{3}$ .

$\frac{π \cdot 4}{3} r^{3} = V$

Step 2.1.2

Combine $\frac{π \cdot 4}{3}$ and $r^{3}$ .

$\frac{π \cdot 4 r^{3}}{3} = V$

Step 2.2

Move $4$ to the left of $π$ .

$\frac{4 π r^{3}}{3} = V$

Step 3

Subtract $\frac{4 π r^{3}}{3}$ from both sides of the equation.

$0 = V - \frac{4 π r^{3}}{3}$

Step 4

Rewrite the equation as $V - \frac{4 π r^{3}}{3} = 0$ .

$V - \frac{4 π r^{3}}{3} = 0$