Basic Math Examples



\begin{matrix} r = & 9 \end{matrix}

$\begin{array}{r} r = & 9 \end{array}$

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 = 9

$r = 9$ 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 9^{3}

$\frac{4}{3} \cdot π \cdot 9^{3}$

Step 3

Combine

\frac{4}{3}

$\frac{4}{3}$ and

π

$π$ .

\frac{4 π}{3} \cdot 9^{3}

$\frac{4 π}{3} \cdot 9^{3}$

Step 4

Raise

9

$9$ to the power of

3

$3$ .

\frac{4 π}{3} \cdot 729

$\frac{4 π}{3} \cdot 729$

Step 5

Cancel the common factor of

3

$3$ .

Tap for more steps...

Step 5.1

Factor

3

$3$ out of

729

$729$ .

\frac{4 π}{3} \cdot (3 (243))

$\frac{4 π}{3} \cdot (3 (243))$

Step 5.2

Cancel the common factor.

$\frac{4 π}{3} \cdot (3 \cdot 243)$

Step 5.3

Rewrite the expression.

$4 π \cdot 243$

$4 π \cdot 243$

Step 6

Multiply

$243$ by

$4$ .

$972 π$

Step 7

The result can be shown in multiple forms.

Exact Form:

$972 π$

Decimal Form:

$3053.62805928 \dots$

 $\begin{array}{r} r = & 9 \end{array}$

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