Basic Math Examples

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\begin{array}{r} r = & 7.5 \end{array}

$\begin{array}{r} r = & 7.5 \end{array}$

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 = 7.5

$r = 7.5$ 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 {7.5}^{3}

$\frac{4}{3} \cdot π \cdot {7.5}^{3}$

Step 3

Combine

\frac{4}{3}

$\frac{4}{3}$ and

π

$π$ .

\frac{4 π}{3} \cdot {7.5}^{3}

$\frac{4 π}{3} \cdot {7.5}^{3}$

Step 4

Raise

7.5

$7.5$ to the power of

3

$3$ .

\frac{4 π}{3} \cdot 421.875

$\frac{4 π}{3} \cdot 421.875$

Step 5

Multiply

\frac{4 π}{3} \cdot 421.875

$\frac{4 π}{3} \cdot 421.875$ .

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Step 5.1

Combine

\frac{4 π}{3}

$\frac{4 π}{3}$ and

421.875

$421.875$ .

\frac{4 π \cdot 421.875}{3}

$\frac{4 π \cdot 421.875}{3}$

Step 5.2

Multiply

421.875

$421.875$ by

4

$4$ .

\frac{1687.5 π}{3}

$\frac{1687.5 π}{3}$

Step 5.3

Multiply

1687.5

$1687.5$ by

π

$π$ .

\frac{5301.43760293}{3}

$\frac{5301.43760293}{3}$

\frac{5301.43760293}{3}

$\frac{5301.43760293}{3}$

Step 6

Divide

5301.43760293

$5301.43760293$ by

3

$3$ .

1767.14586764

$1767.14586764$

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

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