Pre-Algebra Examples

 $\begin{array}{r} h = & A q \\ r = & R \end{array}$

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

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

Step 3

Combine $\frac{1}{3}$ and $π$ .

$\frac{π}{3} \cdot R^{2} \cdot (A q)$

Step 4

Combine $\frac{π}{3}$ and $R^{2}$ .

$\frac{π R^{2}}{3} \cdot (A q)$

Step 5

Multiply $\frac{π R^{2}}{3} (A q)$ .

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Step 5.1

Combine $A$ and $\frac{π R^{2}}{3}$ .

$\frac{A (π R^{2})}{3} q$

Step 5.2

Combine $\frac{A (π R^{2})}{3}$ and $q$ .

$\frac{A (π R^{2}) q}{3}$

$\frac{A π R^{2} q}{3}$