Answer:
[tex]\approx 785.40\:\mathrm{in^2}[/tex]
Step-by-step explanation:
The total surface area of a cylinder with radius [tex]r[/tex] and height [tex]h[/tex] is given by [tex]SA=2r\pi\cdot h+2\cdot r^2\pi[/tex].
What we're given:
- [tex]r[/tex] of 5 inches
- [tex]h[/tex] of 20 inches
Substituting given values, we get:
[tex]SA=2\cdot 5\cdot \pi \cdot 20\+2\cdot 5^2\cdot \pi=785.398163\approx \boxed{785.40\:\mathrm{in^2}}[/tex]
