Pre-Algebra Examples

 $\begin{array}{r} h = & 1 \\ r = & 7 \end{array}$

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 $h = 1$ into the formula to find the volume of the cone. Pi $π$ is approximately equal to $3.14$ .

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

Step 3

Combine $\frac{1}{3}$ and $π$ .

$\frac{π}{3} \cdot 7^{2} \cdot 1$

Step 4

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

$\frac{π}{3} \cdot 49 \cdot 1$

Step 5

Combine $\frac{π}{3}$ and $49$ .

$\frac{π \cdot 49}{3} \cdot 1$

Step 6

Simplify the expression.

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Step 6.1

Move $49$ to the left of $π$ .

$\frac{49 \cdot π}{3} \cdot 1$

Step 6.2

Multiply $\frac{49 π}{3}$ by $1$ .

$\frac{49 π}{3}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{49 π}{3}$

Decimal Form:

$51.31268000 \dots$