Finite Math Examples

$V = \frac{1}{3} \cdot (p r^{2 h})$

Step 1

Rewrite the equation as $\frac{1}{3} \cdot (p r^{2 h}) = V$ .

$\frac{1}{3} \cdot (p r^{2 h}) = V$

Step 2

Multiply $\frac{1}{3} (p r^{2 h})$ .

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Step 2.1

Combine $p$ and $\frac{1}{3}$ .

$\frac{p}{3} r^{2 h} = V$

Step 2.2

Combine $\frac{p}{3}$ and $r^{2 h}$ .

$\frac{p r^{2 h}}{3} = V$

Step 3

Multiply each term in $\frac{p r^{2 h}}{3} = V$ by $3$ to eliminate the fractions.

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Step 3.1

Multiply each term in $\frac{p r^{2 h}}{3} = V$ by $3$ .

$\frac{p r^{2 h}}{3} \cdot 3 = V \cdot 3$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $3$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{p r^{2 h}}{3} \cdot 3 = V \cdot 3$

Step 3.2.1.2

Rewrite the expression.

$p r^{2 h} = V \cdot 3$

Step 3.3

Simplify the right side.

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Step 3.3.1

Move $3$ to the left of $V$ .

$p r^{2 h} = 3 V$