Basic Math Examples

 $\begin{array}{r} h = & 14 \\ r = & 9.9 \end{array}$

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 $r = 9.9$ and height $h = 14$ into the formula to find the volume of the cone. Pi $π$ is approximately equal to $3.14$ .

$\frac{1}{3} \cdot π \cdot {9.9}^{2} \cdot 14$

Step 3

Combine $\frac{1}{3}$ and $π$ .

$\frac{π}{3} \cdot {9.9}^{2} \cdot 14$

Step 4

Raise $9.9$ to the power of $2$ .

$\frac{π}{3} \cdot 98.01 \cdot 14$

Step 5

Multiply $\frac{π}{3} \cdot 98.01$ .

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Step 5.1

Combine $\frac{π}{3}$ and $98.01$ .

$\frac{π \cdot 98.01}{3} \cdot 14$

Step 5.2

Multiply $π$ by $98.01$ .

$\frac{307.90749597}{3} \cdot 14$

Step 6

Divide $307.90749597$ by $3$ .

$102.63583199 \cdot 14$

Step 7

Multiply $102.63583199$ by $14$ .

$1436.90164789$