Pre-Algebra Examples

 $\begin{array}{r} h = & 5 \\ r = & 4 \end{array}$

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 $r = 4$ and height $h = 5$ into the formula to find the volume of the cone. Pi $π$ is approximately equal to $3.14$ .

$\frac{1}{3} \cdot π \cdot 4^{2} \cdot 5$

Step 3

Combine $\frac{1}{3}$ and $π$ .

$\frac{π}{3} \cdot 4^{2} \cdot 5$

Step 4

Raise $4$ to the power of $2$ .

$\frac{π}{3} \cdot 16 \cdot 5$

Step 5

Combine $\frac{π}{3}$ and $16$ .

$\frac{π \cdot 16}{3} \cdot 5$

Step 6

Move $16$ to the left of $π$ .

$\frac{16 \cdot π}{3} \cdot 5$

Step 7

Multiply $\frac{16 π}{3} \cdot 5$ .

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Step 7.1

Combine $\frac{16 π}{3}$ and $5$ .

$\frac{16 π \cdot 5}{3}$

Step 7.2

Multiply $5$ by $16$ .

$\frac{80 π}{3}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{80 π}{3}$

Decimal Form:

$83.77580409 \dots$

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