Basic Math Examples



\begin{matrix} h = r = \end{matrix}

$\begin{array}{r} h = \\ r = \end{array}$

Step 1

The surface area of a cylinder is equal to the sum of the areas of the bases each having an area of

π \cdot r^{2}

$π \cdot r^{2}$ , plus the area of the side. The area of the side is equal to the area of a rectangle with length

2 π r

$2 π r$ (the circumference of the base) times the height.

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

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

Step 2

Substitute the values of the radius

r

$r$ and height

h

$h$ into the formula. Pi

π

$π$ is approximately equal to

3.14

$3.14$ .

2 (π) {(r)}^{2} + 2 (π) (r) (h)

$2 (π) {(r)}^{2} + 2 (π) (r) (h)$

Step 3

Multiply

2

$2$ by

π

$π$ .

2 π r^{2} + 2 π r h

$2 π r^{2} + 2 π r h$