Pre-Algebra Examples

 $\begin{array}{r} h = & 18 \\ r = & 18 \end{array}$

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 $r = 18$ and height $h = 18$ into the formula to find the volume of the cone. Pi $π$ is approximately equal to $3.14$ .

$\frac{1}{3} \cdot π \cdot 18^{2} \cdot 18$

Step 3

Multiply $18^{2}$ by $18$ by adding the exponents.

Tap for more steps...

Step 3.1

Move $18$ .

$\frac{1}{3} \cdot π \cdot (18 \cdot 18^{2})$

Step 3.2

Multiply $18$ by $18^{2}$ .

Tap for more steps...

Step 3.2.1

Raise $18$ to the power of $1$ .

$\frac{1}{3} \cdot π \cdot (18^{1} \cdot 18^{2})$

Step 3.2.2

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

$\frac{1}{3} \cdot π \cdot 18^{1 + 2}$

Step 3.3

Add $1$ and $2$ .

$\frac{1}{3} \cdot π \cdot 18^{3}$

Step 4

Combine $\frac{1}{3}$ and $π$ .

$\frac{π}{3} \cdot 18^{3}$

Step 5

Raise $18$ to the power of $3$ .

$\frac{π}{3} \cdot 5832$

Step 6

Cancel the common factor of $3$ .

Tap for more steps...

Step 6.1

Factor $3$ out of $5832$ .

$\frac{π}{3} \cdot (3 (1944))$

Step 6.2

Cancel the common factor.

$\frac{π}{3} \cdot (3 \cdot 1944)$

Step 6.3

Rewrite the expression.

$π \cdot 1944$

Step 7

Move $1944$ to the left of $π$ .

$1944 π$

Step 8

The result can be shown in multiple forms.

Exact Form:

$1944 π$

Decimal Form:

$6107.25611857 \dots$