Pre-Algebra Examples

 $\begin{array}{r} h = & 2 \\ r = & 0.5 \end{array}$

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 $r = 0.5$ and height $h = 2$ into the formula to find the volume of the cone. Pi $π$ is approximately equal to $3.14$ .

$\frac{1}{3} \cdot π \cdot {0.5}^{2} \cdot 2$

Step 3

Combine $\frac{1}{3}$ and $π$ .

$\frac{π}{3} \cdot {0.5}^{2} \cdot 2$

Step 4

Raise $0.5$ to the power of $2$ .

$\frac{π}{3} \cdot 0.25 \cdot 2$

Step 5

Cancel the common factor of $0.25$ .

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Step 5.1

Factor $0.25$ out of $3$ .

$\frac{π}{0.25 (12)} \cdot 0.25 \cdot 2$

Step 5.2

Cancel the common factor.

$\frac{π}{0.25 \cdot 12} \cdot 0.25 \cdot 2$

Step 5.3

Rewrite the expression.

$\frac{π}{12} \cdot 2$

Step 6

Cancel the common factor of $2$ .

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Step 6.1

Factor $2$ out of $12$ .

$\frac{π}{2 (6)} \cdot 2$

Step 6.2

Cancel the common factor.

$\frac{π}{2 \cdot 6} \cdot 2$

Step 6.3

Rewrite the expression.

$\frac{π}{6}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{π}{6}$

Decimal Form:

$0.52359877 \dots$