Question

What is the closest of the surface area of the cylinder with a radius of 16 and height of 29?

Answer 1

The surface area of the cylinder is `4521.6` or `1440pi`

Explanation:

The formula of finding surface area of a cylinder is `SA=2pir^2+2pirh`

`pi` = 3.14
`h` - height
`r` - radius

Now, you would plug in the numbers you know:

`SA=2(3.14)16^2+2(3.14)(16)(29)`

Now I would simplify it further down to this:

`SA=2(3.14)256+2(3.14)(464)`

I squared 16 and multiply 16 by 29.

Now, we simply it even further down to:

`SA=1607.68 + 2913.92`

I multiplied everything on both sides of the `+` together and as shown above, those are the answer of what I got. Now, you add them together and you get:

`SA=4521.6`

If you want it in term of `pi`, you would of not multiplied 3.14 on both sides, you would just leave it till the end.

SO here are the step for leaving it in term of `pi`

#SA=2pi16^2+2pi(16)(29) #SA=2pi256+2pi(464)# - #SA=512pi+928pi# #SA=1440pi#