Pre-Algebra Examples

 $\begin{array}{r} h = & 6.6 \\ r = & 4.2 \end{array}$

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 $r = 4.2$ and height $h = 6.6$ into the formula to find the volume of the cone. Pi $π$ is approximately equal to $3.14$ .

$\frac{1}{3} \cdot π \cdot {4.2}^{2} \cdot 6.6$

Step 3

Combine $\frac{1}{3}$ and $π$ .

$\frac{π}{3} \cdot {4.2}^{2} \cdot 6.6$

Step 4

Raise $4.2$ to the power of $2$ .

$\frac{π}{3} \cdot 17.64 \cdot 6.6$

Step 5

Multiply $\frac{π}{3} \cdot 17.64$ .

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Step 5.1

Combine $\frac{π}{3}$ and $17.64$ .

$\frac{π \cdot 17.64}{3} \cdot 6.6$

Step 5.2

Multiply $π$ by $17.64$ .

$\frac{55.4176944}{3} \cdot 6.6$

Step 6

Divide $55.4176944$ by $3$ .

$18.4725648 \cdot 6.6$

Step 7

Multiply $18.4725648$ by $6.6$ .

$121.9189277$