Find the Volume cone (10)(24)

 $\begin{array}{r} h = & 10 \\ r = & 24 \end{array}$

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 $r = 24$ and height $h = 10$ into the formula to find the volume of the cone. Pi $π$ is approximately equal to $3.14$ .

$\frac{1}{3} \cdot π \cdot 24^{2} \cdot 10$

Step 3

Combine $\frac{1}{3}$ and $π$ .

$\frac{π}{3} \cdot 24^{2} \cdot 10$

Step 4

Raise $24$ to the power of $2$ .

$\frac{π}{3} \cdot 576 \cdot 10$

Step 5

Cancel the common factor of $3$ .

Factor $3$ out of $576$ .

$\frac{π}{3} \cdot (3 (192)) \cdot 10$

Cancel the common factor.

$\frac{π}{3} \cdot (3 \cdot 192) \cdot 10$

Rewrite the expression.

$π \cdot 192 \cdot 10$

Step 6

Simplify the expression.

Move $192$ to the left of $π$ .

$192 \cdot π \cdot 10$

Multiply $10$ by $192$ .

$1920 π$

Step 7

The result can be shown in multiple forms.

Exact Form:

$1920 π$

Decimal Form:

$6031.85789489 \dots$

Find the Volume cone (10)(24)

Related Questions