Basic Math Examples



\begin{matrix} h = & 6 r = & 3 \end{matrix}

$\begin{array}{r} h = & 6 \\ r = & 3 \end{array}$

Step 1

The volume of a cylinder is equal to the area of the base

π r^{2}

$π r^{2}$ times the height.

π \cdot {(r a d i u s)}^{2} \cdot (h e i g h t)

$π \cdot {(r a d i u s)}^{2} \cdot (h e i g h t)$

Step 2

Substitute the values of the radius

r = 3

$r = 3$ and height

h = 6

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

π

$π$ is approximately equal to

3.14

$3.14$ .

π \cdot 3^{2} \cdot 6

$π \cdot 3^{2} \cdot 6$

Step 3

Raise

3

$3$ to the power of

2

$2$ .

π \cdot 9 \cdot 6

$π \cdot 9 \cdot 6$

Step 4

Move

9

$9$ to the left of

π

$π$ .

9 \cdot π \cdot 6

$9 \cdot π \cdot 6$

Step 5

Multiply

6

$6$ by

9

$9$ .

54 π

$54 π$

Step 6

The result can be shown in multiple forms.

Exact Form:

54 π

$54 π$

Decimal Form:

169.64600329 \dots

$169.64600329 \dots$