Finite Math Examples

$v = (3.14) r^{2} h$

Step 1

Rewrite the equation as $3.14 r^{2} h = v$ .

$3.14 r^{2} h = v$

Step 2

Divide each term in $3.14 r^{2} h = v$ by $3.14 r^{2}$ and simplify.

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Step 2.1

Divide each term in $3.14 r^{2} h = v$ by $3.14 r^{2}$ .

$\frac{3.14 r^{2} h}{3.14 r^{2}} = \frac{v}{3.14 r^{2}}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $3.14$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{3.14 r^{2} h}{3.14 r^{2}} = \frac{v}{3.14 r^{2}}$

Step 2.2.1.2

Rewrite the expression.

$\frac{r^{2} h}{r^{2}} = \frac{v}{3.14 r^{2}}$

Step 2.2.2

Cancel the common factor of $r^{2}$ .

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Step 2.2.2.1

Cancel the common factor.

$\frac{r^{2} h}{r^{2}} = \frac{v}{3.14 r^{2}}$

Step 2.2.2.2

Divide $h$ by $1$ .

$h = \frac{v}{3.14 r^{2}}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Multiply by $1$ .

$h = \frac{1 v}{3.14 r^{2}}$

Step 2.3.2

Factor $3.14$ out of $3.14 r^{2}$ .

$h = \frac{1 v}{3.14 (r^{2})}$

Step 2.3.3

Separate fractions.

$h = \frac{1}{3.14} \cdot \frac{v}{r^{2}}$

Step 2.3.4

Divide $1$ by $3.14$ .

$h = 0.31847133 \frac{v}{r^{2}}$

Step 2.3.5

Combine $0.31847133$ and $\frac{v}{r^{2}}$ .

$h = \frac{0.31847133 v}{r^{2}}$