Basic Math Examples

 $\begin{array}{r} h = & 10 \\ r = & 5 \end{array}$

Step 1

The volume of a cone is equal to $\frac{1}{3}$ times the area of the base $π r^{2}$ times the height $h$ .

$\frac{1}{3} \cdot π \cdot {(r a d i u s)}^{2} \cdot (h e i g h t)$

Step 2

Substitute the values of the radius $r = 5$ and height $h = 10$ into the formula to find the volume of the cone. Pi $π$ is approximately equal to $3.14$ .

$\frac{1}{3} \cdot π \cdot 5^{2} \cdot 10$

Step 3

Combine $\frac{1}{3}$ and $π$ .

$\frac{π}{3} \cdot 5^{2} \cdot 10$

Step 4

Raise $5$ to the power of $2$ .

$\frac{π}{3} \cdot 25 \cdot 10$

Step 5

Combine $\frac{π}{3}$ and $25$ .

$\frac{π \cdot 25}{3} \cdot 10$

Step 6

Move $25$ to the left of $π$ .

$\frac{25 \cdot π}{3} \cdot 10$

Step 7

Multiply $\frac{25 π}{3} \cdot 10$ .

Tap for more steps...

Step 7.1

Combine $\frac{25 π}{3}$ and $10$ .

$\frac{25 π \cdot 10}{3}$

Step 7.2

Multiply $10$ by $25$ .

$\frac{250 π}{3}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{250 π}{3}$

Decimal Form:

$261.79938779 \dots$