Find the Volume cone (14)(9.9)



$\begin{array}{r} h = & 14 \\ r = & 9.9 \end{array}$

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

$r = 9.9$ and height

$h = 14$ into the formula to find the volume of the cone. Pi

$π$ is approximately equal to

$3.14$ .

$\frac{1}{3} \cdot π \cdot {9.9}^{2} \cdot 14$

Step 3

Combine

$\frac{1}{3}$ and

$π$ .

$\frac{π}{3} \cdot {9.9}^{2} \cdot 14$

Step 4

Raise

$9.9$ to the power of

$2$ .

$\frac{π}{3} \cdot 98.01 \cdot 14$

Step 5

Multiply

$\frac{π}{3} \cdot 98.01$ .

Combine

$\frac{π}{3}$ and

$98.01$ .

$\frac{π \cdot 98.01}{3} \cdot 14$

Multiply

$π$ by

$98.01$ .

$\frac{307.90749597}{3} \cdot 14$

Step 6

Divide

$307.90749597$ by

$3$ .

$102.63583199 \cdot 14$

Step 7

Multiply

$102.63583199$ by

$14$ .

$1436.90164789$