The radius of a cylindrical popcorn tin is 3x+1 in. The height of the tin in 3 times the radius. What is the surface area of the cylinder? Write your answer in simplified form.

Question

marigirl · Answer

have u gt the final ans by any chance?

radar · Answer

Does the surface include the lid......or is there a lid?

marigirl · Answer

??

radar · Answer

R= 3x + 1 then 
Diameter D = 6x + 2 or 2R
Circumference C= pi(6x + 2)
Height H=3r or 9x + 3.
The cylinder (minus bottom & lid) area A=Ch=pi(6x + 2)(9x + 3) =pi(54x^2 + 36x + 6)
Now the area of the bottom is pir^2 or pi(3x + 1)^2  and so would be the lid if there was one.  Just add them.

radar · Answer

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