Find the Volume cone (15)(9)



$\begin{array}{r} h = & 15 \\ r = & 9 \end{array}$

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

$r = 9$ and height

$h = 15$ into the formula to find the volume of the cone. Pi

$π$ is approximately equal to

$3.14$ .

$\frac{1}{3} \cdot π \cdot 9^{2} \cdot 15$

Step 3

Combine

$\frac{1}{3}$ and

$π$ .

$\frac{π}{3} \cdot 9^{2} \cdot 15$

Step 4

Raise

$9$ to the power of

$2$ .

$\frac{π}{3} \cdot 81 \cdot 15$

Step 5

Cancel the common factor of

$3$ .

Factor

$3$ out of

$81$ .

$\frac{π}{3} \cdot (3 (27)) \cdot 15$

Cancel the common factor.

$\frac{π}{3} \cdot (3 \cdot 27) \cdot 15$

Rewrite the expression.

$π \cdot 27 \cdot 15$

Step 6

Simplify the expression.

Move

$27$ to the left of

$π$ .

$27 \cdot π \cdot 15$

Multiply

$15$ by

$27$ .

$405 π$

Step 7

The result can be shown in multiple forms.

Exact Form:

$405 π$

Decimal Form:

$1272.34502470 \dots$

Find the Volume cone (15)(9)

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