Pre-Algebra Examples

 $\begin{array}{r} h = & 6.5 \\ r = & 14 \end{array}$

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 $r = 14$ and height $h = 6.5$ into the formula to find the volume of the cone. Pi $π$ is approximately equal to $3.14$ .

$\frac{1}{3} \cdot π \cdot 14^{2} \cdot 6.5$

Step 3

Combine $\frac{1}{3}$ and $π$ .

$\frac{π}{3} \cdot 14^{2} \cdot 6.5$

Step 4

Raise $14$ to the power of $2$ .

$\frac{π}{3} \cdot 196 \cdot 6.5$

Step 5

Combine $\frac{π}{3}$ and $196$ .

$\frac{π \cdot 196}{3} \cdot 6.5$

Step 6

Move $196$ to the left of $π$ .

$\frac{196 \cdot π}{3} \cdot 6.5$

Step 7

Multiply $\frac{196 π}{3} \cdot 6.5$ .

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Step 7.1

Combine $\frac{196 π}{3}$ and $6.5$ .

$\frac{196 π \cdot 6.5}{3}$

Step 7.2

Multiply $6.5$ by $196$ .

$\frac{1274 π}{3}$

Step 7.3

Multiply $1274$ by $π$ .

$\frac{4002.38904067}{3}$

Step 8

Divide $4002.38904067$ by $3$ .

$1334.12968022$