Basic Math Examples



\begin{matrix} r = & 3.14 \end{matrix}

$\begin{array}{r} r = & 3.14 \end{array}$

Step 1

The volume of a sphere is equal to

\frac{4}{3}

$\frac{4}{3}$ times Pi

π

$π$ times the radius cubed.

\frac{4}{3} \cdot π \cdot {(r a d i u s)}^{3}

$\frac{4}{3} \cdot π \cdot {(r a d i u s)}^{3}$

Step 2

Substitute the value of the radius

r = 3.14

$r = 3.14$ into the formula to find the volume of the sphere. Pi

π

$π$ is approximately equal to

3.14

$3.14$ .

\frac{4}{3} \cdot π \cdot {3.14}^{3}

$\frac{4}{3} \cdot π \cdot {3.14}^{3}$

Step 3

Combine

\frac{4}{3}

$\frac{4}{3}$ and

π

$π$ .

\frac{4 π}{3} \cdot {3.14}^{3}

$\frac{4 π}{3} \cdot {3.14}^{3}$

Step 4

Raise

3.14

$3.14$ to the power of

3

$3$ .

\frac{4 π}{3} \cdot 30.959144

$\frac{4 π}{3} \cdot 30.959144$

Step 5

Multiply

\frac{4 π}{3} \cdot 30.959144

$\frac{4 π}{3} \cdot 30.959144$ .

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Step 5.1

Combine

\frac{4 π}{3}

$\frac{4 π}{3}$ and

30.959144

$30.959144$ .

\frac{4 π \cdot 30.959144}{3}

$\frac{4 π \cdot 30.959144}{3}$

Step 5.2

Multiply

30.959144

$30.959144$ by

4

$4$ .

\frac{123.836576 π}{3}

$\frac{123.836576 π}{3}$

Step 5.3

Multiply

123.836576

$123.836576$ by

π

$π$ .

\frac{389.0440774}{3}

$\frac{389.0440774}{3}$

\frac{389.0440774}{3}

$\frac{389.0440774}{3}$

Step 6

Divide

389.0440774

$389.0440774$ by

3

$3$ .

129.68135913

$129.68135913$

⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

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