Pre-Algebra Examples



\begin{matrix} h = & 12 r = & 7 \end{matrix}

$\begin{array}{r} h = & 12 \\ r = & 7 \end{array}$

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 = 7

$r = 7$ and height

h = 12

$h = 12$ into the formula to find the volume of the cylinder. Pi

π

$π$ is approximately equal to

3.14

$3.14$ .

π \cdot 7^{2} \cdot 12

$π \cdot 7^{2} \cdot 12$

Step 3

Raise

7

$7$ to the power of

2

$2$ .

π \cdot 49 \cdot 12

$π \cdot 49 \cdot 12$

Step 4

Move

49

$49$ to the left of

π

$π$ .

49 \cdot π \cdot 12

$49 \cdot π \cdot 12$

Step 5

Multiply

12

$12$ by

49

$49$ .

588 π

$588 π$

Step 6

The result can be shown in multiple forms.

Exact Form:

588 π

$588 π$

Decimal Form:

1847.25648031 \dots

$1847.25648031 \dots$