Question

Find the surface area of a cylinder with height of 8 feet and base diameter of 6 feet

Answer 1

`66\pi` ft²

Explanation:

First find the area of the rectangle surrounding the cylinder.

Since the base diameter is 6 feet, the circumference
`=\pi d=6\pi`.

Since the height is 8 feet, the area of the rectangle is
`6\pi*8` or
`48\pi`

Now the area of the base circle
`=\pi r^2 = \pi*(1)/(4)d^2=9\pi`

There are 2 base circles, so
`9\pi*2=18\pi`

Surface area =
`18\pi+48\pi=66\pi` ft²

Answer 2

The answer is A≈207.35ft²