Answer:
[tex]\Huge \boxed{\mathrm{a) \ \$ \ 80}} \\\\\\\\ \Huge \boxed{\mathrm{b) \ \$ \ 10}}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
Surface area of the cylinder :
2πr² + 2πrh
The diameter is 2 ft, so the radius is 1 ft.
⇒ 2π(1)² + 2π(1)(3)
⇒ 8π ≈ 25.13
$3.18 is getting payed per square foot.
⇒ 25.13 × 3.18
⇒ 79.9221171073 ≈ 80
If the lid was missing:
πr² + 2πrh
π(1)² + 2π(1)(3)
7π ≈ 21.99
$3.18 is getting payed per square foot.
⇒ 21.99 × 3.18
⇒ 69.9318524689 ≈ 70
The difference :
80 - 70 = 10
$10 less if the lid is missing.
[tex]\rule[225]{225}{2}[/tex]
