Question

find the surface area and volume of the following cylinder.
(1) surface area: ____ (pi)
(2) volume: ____ (pi)

Explanation:

Step1: Identify radius and height

Radius $r=\frac{8}{2}=4$, height $h = 6$.

Step2: Calculate surface - area formula

The surface - area formula of a cylinder is $S = 2\pi r^{2}+2\pi rh$.
$S=2\pi\times4^{2}+2\pi\times4\times6$.
$S = 2\pi\times16+2\pi\times24$.
$S = 32\pi+48\pi$.
$S = 80\pi$.

Step3: Calculate volume formula

The volume formula of a cylinder is $V=\pi r^{2}h$.
$V=\pi\times4^{2}\times6$.
$V=\pi\times16\times6$.
$V = 96\pi$.

Answer:

(1) $80$
(2) $96$