Basic Math Examples

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$\begin{array}{r} h = & 2 \\ r = & 4 \end{array}$

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

$r = 4$ and height

$h = 2$ into the formula to find the volume of the cone. Pi

$π$ is approximately equal to

$3.14$ .

$\frac{1}{3} \cdot π \cdot 4^{2} \cdot 2$

Step 3

Combine

$\frac{1}{3}$ and

$π$ .

$\frac{π}{3} \cdot 4^{2} \cdot 2$

Step 4

Raise

$4$ to the power of

$2$ .

$\frac{π}{3} \cdot 16 \cdot 2$

Step 5

Combine

$\frac{π}{3}$ and

$16$ .

$\frac{π \cdot 16}{3} \cdot 2$

Step 6

Move

$16$ to the left of

$π$ .

$\frac{16 \cdot π}{3} \cdot 2$

Step 7

Multiply

$\frac{16 π}{3} \cdot 2$ .

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Step 7.1

Combine

$\frac{16 π}{3}$ and

$2$ .

$\frac{16 π \cdot 2}{3}$

Step 7.2

Multiply

$2$ by

$16$ .

$\frac{32 π}{3}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{32 π}{3}$

Decimal Form:

$33.51032163 \dots$

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