Find the surface area of a cylinder with a base radius of 3 in and a height of 8 in.
Write your answer in terms of it, and be sure to include the correct unit.

66π in²

Step-by-step explanation:

Area of one circular base: πr² ⇒ π3² ⇒ 9π

Area of the two circles: 9π + 9π = 18π

We know that the length of the rectangle is 8 in, but we still have to find width. The width of the rectangle is the circumference of either circle:

Width of rectangle: 2πr ⇒ 2π3 ⇒ 6π

Area of rectangle: 6π · 8 = 48π

Total Surface Area: 48π + 18π = 66π in²

Total Surface Area (using the π symbol on a calculator)≈ 207.345 in²

Hopefully this helps!