Question

Find the surface area of a cylinder with a base diameter of 8ft and a height of 6ft. Write your answer in terms of pi, and be sure to include the correct unit.

Answer 1

Given that diameter of the base of the cylinder = 8 ft

Given that height of the cylinder = 6 ft

We have to find the surface area of the cylinder in terms of pi.

So we need to use formula of surface area of the cylinder which is

`Area= 2\pi r(r+h)`

where h= height = 6

r= radius = diameter/2 = 8/2 = 4

Now plug these values into above formula

`Area= 2\pi *4(4+3)`

`Area= 2\pi *4(7)`

`Area= 2\pi *28`

`Area= 56\pi`

Hence final answer is

`Area= 56\pi` square ft

Answer 2

80
`\pi`

Explanation:

We are given a cylinder with a base diameter of 8 feet and a height of 6 feet and we supposed to find its surface area.

We know the formula of surface area of cylinder
`= 2\pi rh+2\pi r^2`

where
to get:

`= 2\pi rh+2\pi r^2`

`=2*\pi *4*6+2*\pi *4^2\\\\=48\pi +32\pi \\\\=80\pi`

Therefore, the surface area of the given cylinder is 80
`\pi`.