Find the Volume cone (81)(10)



$\begin{array}{r} h = & 81 \\ r = & 10 \end{array}$

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

$r = 10$ and height

$h = 81$ into the formula to find the volume of the cone. Pi

$π$ is approximately equal to

$3.14$ .

$\frac{1}{3} \cdot π \cdot 10^{2} \cdot 81$

Step 3

Combine

$\frac{1}{3}$ and

$π$ .

$\frac{π}{3} \cdot 10^{2} \cdot 81$

Step 4

Raise

$10$ to the power of

$2$ .

$\frac{π}{3} \cdot 100 \cdot 81$

Step 5

Combine

$\frac{π}{3}$ and

$100$ .

$\frac{π \cdot 100}{3} \cdot 81$

Step 6

Cancel the common factor of

$3$ .

Factor

$3$ out of

$81$ .

$\frac{π \cdot 100}{3} \cdot (3 (27))$

Cancel the common factor.

$\frac{π \cdot 100}{3} \cdot (3 \cdot 27)$

Rewrite the expression.

$π \cdot 100 \cdot 27$

Step 7

Simplify the expression.

Multiply

$27$ by

$100$ .

$π \cdot 2700$

Move

$2700$ to the left of

$π$ .

$2700 π$

Step 8

The result can be shown in multiple forms.

Exact Form:

$2700 π$

Decimal Form:

$8482.30016469 \dots$

Find the Volume cone (81)(10)

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