Basic Math Examples



\begin{matrix} r = & 8.7 \end{matrix}

$\begin{array}{r} r = & 8.7 \end{array}$

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 = 8.7

$r = 8.7$ 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 {8.7}^{3}

$\frac{4}{3} \cdot π \cdot {8.7}^{3}$

Step 3

Combine

\frac{4}{3}

$\frac{4}{3}$ and

π

$π$ .

\frac{4 π}{3} \cdot {8.7}^{3}

$\frac{4 π}{3} \cdot {8.7}^{3}$

Step 4

Raise

8.7

$8.7$ to the power of

3

$3$ .

\frac{4 π}{3} \cdot 658.503

$\frac{4 π}{3} \cdot 658.503$

Step 5

Multiply

\frac{4 π}{3} \cdot 658.503

$\frac{4 π}{3} \cdot 658.503$ .

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Step 5.1

Combine

\frac{4 π}{3}

$\frac{4 π}{3}$ and

658.503

$658.503$ .

\frac{4 π \cdot 658.503}{3}

$\frac{4 π \cdot 658.503}{3}$

Step 5.2

Multiply

658.503

$658.503$ by

4

$4$ .

\frac{2634.012 π}{3}

$\frac{2634.012 π}{3}$

Step 5.3

Multiply

2634.012

$2634.012$ by

π

$π$ .

\frac{8274.99274866}{3}

$\frac{8274.99274866}{3}$

\frac{8274.99274866}{3}

$\frac{8274.99274866}{3}$

Step 6

Divide

8274.99274866

$8274.99274866$ by

3

$3$ .

2758.33091622

$2758.33091622$

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

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