Basic Math Examples



\begin{array}{r} r = & 3 \end{array}

$\begin{array}{r} r = & 3 \end{array}$

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

$r = 3$ 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^{3}

$\frac{4}{3} \cdot π \cdot 3^{3}$

Step 3

Combine

\frac{4}{3}

$\frac{4}{3}$ and

π

$π$ .

\frac{4 π}{3} \cdot 3^{3}

$\frac{4 π}{3} \cdot 3^{3}$

Step 4

Cancel the common factor of

3

$3$ .

Tap for more steps...

Step 4.1

Factor

3

$3$ out of

3^{3}

$3^{3}$ .

\frac{4 π}{3} \cdot (3 \cdot 3^{2})

$\frac{4 π}{3} \cdot (3 \cdot 3^{2})$

Step 4.2

Cancel the common factor.

\frac{4 π}{3} \cdot (3 \cdot 3^{2})

$\frac{4 π}{3} \cdot (3 \cdot 3^{2})$

Step 4.3

Rewrite the expression.

4 π \cdot 3^{2}

$4 π \cdot 3^{2}$

4 π \cdot 3^{2}

$4 π \cdot 3^{2}$

Step 5

Simplify the expression.

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Step 5.1

Raise

3

$3$ to the power of

2

$2$ .

4 π \cdot 9

$4 π \cdot 9$

Step 5.2

Multiply

9

$9$ by

4

$4$ .

36 π

$36 π$

36 π

$36 π$

Step 6

The result can be shown in multiple forms.

Exact Form:

36 π

$36 π$

Decimal Form:

113.09733552 \dots

$113.09733552 \dots$



\begin{array}{r} r = & 3 \end{array}

$\begin{array}{r} r = & 3 \end{array}$

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

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