Basic Math Examples



$\begin{array}{r} h = & 6 \\ r = & 5 \end{array}$

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

$r = 5$ and height

$h = 6$ into the formula to find the volume of the cone. Pi

$π$ is approximately equal to

$3.14$ .

$\frac{1}{3} \cdot π \cdot 5^{2} \cdot 6$

Step 3

Combine

$\frac{1}{3}$ and

$π$ .

$\frac{π}{3} \cdot 5^{2} \cdot 6$

Step 4

Raise

$5$ to the power of

$2$ .

$\frac{π}{3} \cdot 25 \cdot 6$

Step 5

Combine

$\frac{π}{3}$ and

$25$ .

$\frac{π \cdot 25}{3} \cdot 6$

Step 6

Cancel the common factor of

$3$ .

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Step 6.1

Factor

$3$ out of

$6$ .

$\frac{π \cdot 25}{3} \cdot (3 (2))$

Step 6.2

Cancel the common factor.

$\frac{π \cdot 25}{3} \cdot (3 \cdot 2)$

Step 6.3

Rewrite the expression.

$π \cdot 25 \cdot 2$

Step 7

Simplify the expression.

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Step 7.1

Multiply

$2$ by

$25$ .

$π \cdot 50$

Step 7.2

Move

$50$ to the left of

$π$ .

$50 π$

Step 8

The result can be shown in multiple forms.

Exact Form:

$50 π$

Decimal Form:

$157.07963267 \dots$