Find the Volume cone (24)(7)

 $\begin{array}{r} h = & 24 \\ r = & 7 \end{array}$

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 $r = 7$ and height $h = 24$ into the formula to find the volume of the cone. Pi $π$ is approximately equal to $3.14$ .

$\frac{1}{3} \cdot π \cdot 7^{2} \cdot 24$

Step 3

Combine $\frac{1}{3}$ and $π$ .

$\frac{π}{3} \cdot 7^{2} \cdot 24$

Step 4

Raise $7$ to the power of $2$ .

$\frac{π}{3} \cdot 49 \cdot 24$

Step 5

Combine $\frac{π}{3}$ and $49$ .

$\frac{π \cdot 49}{3} \cdot 24$

Step 6

Cancel the common factor of $3$ .

Factor $3$ out of $24$ .

$\frac{π \cdot 49}{3} \cdot (3 (8))$

Cancel the common factor.

$\frac{π \cdot 49}{3} \cdot (3 \cdot 8)$

Rewrite the expression.

$π \cdot 49 \cdot 8$

Step 7

Simplify the expression.

Multiply $8$ by $49$ .

$π \cdot 392$

Move $392$ to the left of $π$ .

$392 π$

Step 8

The result can be shown in multiple forms.

Exact Form:

$392 π$

Decimal Form:

$1231.50432020 \dots$

Find the Volume cone (24)(7)

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