Basic Math Examples

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$\begin{array}{r} h = & 4 \\ r = & 3 \end{array}$

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

$r = 3$ and height

$h = 4$ into the formula to find the volume of the cone. Pi

$π$ is approximately equal to

$3.14$ .

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

Step 3

Combine

$\frac{1}{3}$ and

$π$ .

$\frac{π}{3} \cdot 3^{2} \cdot 4$

Step 4

Cancel the common factor of

$3$ .

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Step 4.1

Factor

$3$ out of

$3^{2}$ .

$\frac{π}{3} \cdot (3 \cdot 3) \cdot 4$

Step 4.2

Cancel the common factor.

$\frac{π}{3} \cdot (3 \cdot 3) \cdot 4$

Step 4.3

Rewrite the expression.

$π \cdot 3 \cdot 4$

Step 5

Simplify the expression.

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Step 5.1

Move

$3$ to the left of

$π$ .

$3 \cdot π \cdot 4$

Step 5.2

Multiply

$4$ by

$3$ .

$12 π$

Step 6

The result can be shown in multiple forms.

Exact Form:

$12 π$

Decimal Form:

$37.69911184 \dots$