Pre-Algebra Examples

 $\begin{array}{r} h = & 4 \\ r = & 8 \end{array}$

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 $r = 8$ and height $h = 4$ into the formula to find the volume of the cone. Pi $π$ is approximately equal to $3.14$ .

$\frac{1}{3} \cdot π \cdot 8^{2} \cdot 4$

Step 3

Combine $\frac{1}{3}$ and $π$ .

$\frac{π}{3} \cdot 8^{2} \cdot 4$

Step 4

Raise $8$ to the power of $2$ .

$\frac{π}{3} \cdot 64 \cdot 4$

Step 5

Combine $\frac{π}{3}$ and $64$ .

$\frac{π \cdot 64}{3} \cdot 4$

Step 6

Move $64$ to the left of $π$ .

$\frac{64 \cdot π}{3} \cdot 4$

Step 7

Multiply $\frac{64 π}{3} \cdot 4$ .

Tap for more steps...

Step 7.1

Combine $\frac{64 π}{3}$ and $4$ .

$\frac{64 π \cdot 4}{3}$

Step 7.2

Multiply $4$ by $64$ .

$\frac{256 π}{3}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{256 π}{3}$

Decimal Form:

$268.08257310 \dots$