Finite Math Examples

v = (3.14) r^{2} h

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

Step 1

Rewrite the equation as

3.14 r^{2} h = v

$3.14 r^{2} h = v$ .

3.14 r^{2} h = v

$3.14 r^{2} h = v$

Step 2

Divide each term in

3.14 r^{2} h = v

$3.14 r^{2} h = v$ by

3.14 r^{2}

$3.14 r^{2}$ and simplify.

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Step 2.1

Divide each term in

3.14 r^{2} h = v

$3.14 r^{2} h = v$ by

3.14 r^{2}

$3.14 r^{2}$ .

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

$3.14$ .

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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}}

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

Step 2.2.1.2

Rewrite the expression.

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

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

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

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

Step 2.2.2

Cancel the common factor of

r^{2}

$r^{2}$ .

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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}}

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

Step 2.2.2.2

Divide

h

$h$ by

1

$1$ .

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

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

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

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

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

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

Step 2.3

Simplify the right side.

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Step 2.3.1

Multiply by

1

$1$ .

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

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

Step 2.3.2

Factor

3.14

$3.14$ out of

3.14 r^{2}

$3.14 r^{2}$ .

h = \frac{1 v}{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}}

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

Step 2.3.4

Divide

1

$1$ by

3.14

$3.14$ .

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

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

Step 2.3.5

Combine

0.31847133

$0.31847133$ and

\frac{v}{r^{2}}

$\frac{v}{r^{2}}$ .

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

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

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

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

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

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

[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$