Pre-Algebra Examples

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

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 $r = e$ and height $h = r$ into the formula to find the volume of the cone. Pi $π$ is approximately equal to $3.14$ .

$\frac{1}{3} \cdot π \cdot e^{2} \cdot r$

Step 3

Combine $\frac{1}{3}$ and $π$ .

$\frac{π}{3} \cdot e^{2} \cdot r$

Step 4

Combine $\frac{π}{3}$ and $e^{2}$ .

$\frac{π e^{2}}{3} \cdot r$

Step 5

Combine $\frac{π e^{2}}{3}$ and $r$ .

$\frac{π e^{2} r}{3}$