Question

A food manufacturer stores corn oil in right circular cylindrical containers. This container has a height of 10 feet, and a base with a radius of 5 feet. What is SA, the surface are alf this container, in terms of `pi`?

Answer 1

`150pi ft^2`

Explanation:

To find the surface area of a cylinder, use the equation:
`SA = 2pir^2+2pirh`, in which `r` = the radius of the cylinder's base and `h` = the height of the cylinder.

Since this question is asking for an answer in terms of `pi`, first, factor out `pi` from the two halves of the equation (using the distributive property in reverse):
`SA = 2*pir^2+2pirh`
= `pi(2r^2+2rh)`

Second, plug in your variables and solve:
= `pi(2*5^2+2*5*10)`
= `pi(2*25+100)`
= `pi(50+100)`
= `150pi`

We do not need to further multiply 150 and `pi`, since the question asks for an answer in terms of `pi` . Therefore, your final answer is `150pi ft^2`!

If the question specifies to not leave your answer in terms of `pi`, your answer would be around `471.24 ft^2`.