Basic Math Examples



\begin{array}{r} h = & 14 \\ r = & 8 \end{array}

$\begin{array}{r} h = & 14 \\ r = & 8 \end{array}$

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 = 8

$r = 8$ and height

h = 14

$h = 14$ into the formula to find the volume of the cylinder. Pi

π

$π$ is approximately equal to

3.14

$3.14$ .

π \cdot 8^{2} \cdot 14

$π \cdot 8^{2} \cdot 14$

Step 3

Raise

8

$8$ to the power of

2

$2$ .

π \cdot 64 \cdot 14

$π \cdot 64 \cdot 14$

Step 4

Move

64

$64$ to the left of

π

$π$ .

64 \cdot π \cdot 14

$64 \cdot π \cdot 14$

Step 5

Multiply

14

$14$ by

64

$64$ .

896 π

$896 π$

Step 6

The result can be shown in multiple forms.

Exact Form:

896 π

$896 π$

Decimal Form:

2814.86701761 \dots

$2814.86701761 \dots$