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?

1 Answer
Apr 29, 2018

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.