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#?

Question

Caroline Aucoin · Accepted Answer

#150pi ft^2# 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#.

Sadie Adams · Answer

undefined The surface area $ SA $ of the cylindrical container is given by the formula:

$$ SA = 2\pi r^2 + 2\pi rh $$

where $ r $ is the radius of the base and $ h $ is the height of the cylinder.

Given that the radius $ r = 5 $ feet and the height $ h = 10 $ feet, we can substitute these values into the formula to find the surface area:

$$ SA = 2\pi (5)^2 + 2\pi (5)(10) $$
$$ SA = 2\pi (25) + 2\pi (50) $$
$$ SA = 50\pi + 100\pi $$
$$ SA = 150\pi $$

So, the surface area of the cylindrical container is $ 150\pi $ square feet.