Find the Volume cone (2)(2)

 $\begin{array}{r} h = & 2 \\ r = & 2 \end{array}$

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 $r = 2$ and height $h = 2$ into the formula to find the volume of the cone. Pi $π$ is approximately equal to $3.14$ .

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

Step 3

Multiply $2^{2}$ by $2$ by adding the exponents.

Move $2$ .

$\frac{1}{3} \cdot π \cdot (2 \cdot 2^{2})$

Multiply $2$ by $2^{2}$ .

Raise $2$ to the power of $1$ .

$\frac{1}{3} \cdot π \cdot (2^{1} \cdot 2^{2})$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{1}{3} \cdot π \cdot 2^{1 + 2}$

Add $1$ and $2$ .

$\frac{1}{3} \cdot π \cdot 2^{3}$

Step 4

Combine $\frac{1}{3}$ and $π$ .

$\frac{π}{3} \cdot 2^{3}$

Step 5

Raise $2$ to the power of $3$ .

$\frac{π}{3} \cdot 8$

Step 6

Combine $\frac{π}{3}$ and $8$ .

$\frac{π \cdot 8}{3}$

Step 7

Move $8$ to the left of $π$ .

$\frac{8 π}{3}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{8 π}{3}$

Decimal Form:

$8.37758040 \dots$

Find the Volume cone (2)(2)

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