Basic Math Examples



\begin{array}{r} r = & 6 \end{array}

$\begin{array}{r} r = & 6 \end{array}$

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 = 6

$r = 6$ 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 6^{3}

$\frac{4}{3} \cdot π \cdot 6^{3}$

Step 3

Combine

\frac{4}{3}

$\frac{4}{3}$ and

π

$π$ .

\frac{4 π}{3} \cdot 6^{3}

$\frac{4 π}{3} \cdot 6^{3}$

Step 4

Raise

6

$6$ to the power of

3

$3$ .

\frac{4 π}{3} \cdot 216

$\frac{4 π}{3} \cdot 216$

Step 5

Cancel the common factor of

3

$3$ .

Tap for more steps...

Step 5.1

Factor

3

$3$ out of

216

$216$ .

\frac{4 π}{3} \cdot (3 (72))

$\frac{4 π}{3} \cdot (3 (72))$

Step 5.2

Cancel the common factor.

\frac{4 π}{3} \cdot (3 \cdot 72)

$\frac{4 π}{3} \cdot (3 \cdot 72)$

Step 5.3

Rewrite the expression.

4 π \cdot 72

$4 π \cdot 72$

4 π \cdot 72

$4 π \cdot 72$

Step 6

Multiply

72

$72$ by

4

$4$ .

288 π

$288 π$

Step 7

The result can be shown in multiple forms.

Exact Form:

288 π

$288 π$

Decimal Form:

904.77868423 \dots

$904.77868423 \dots$



\begin{array}{r} r = & 6 \end{array}

$\begin{array}{r} r = & 6 \end{array}$

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

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