SOLUTION: ok i have ABSOLUTLEY NO CLUE WHAT TO DO I AM SOOO LOST ! PLEASE SOMEONE HELPME!! Find the radius of the right cylinder shown, in which the height of the cylinder is equal to the d

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Question 566035: ok i have ABSOLUTLEY NO CLUE WHAT TO DO I AM SOOO LOST ! PLEASE SOMEONE HELPME!!
Find the radius of the right cylinder shown, in which the height of the cylinder is equal to the diameter.
ok, soo what i did is find the surface area.
S=2*pi*radius^2+28pi*raduis
so i plugged in the numbers
150pi=2pir^2+2pir(2r)
after that i dont know what todo.. HONESTLEY i dont even think i did it right...

Found 2 solutions by mananth, Edwin McCravy:
Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
150pi=2pir^2+2pir(r)
I presume 150 pi is the surface area
150pi=2pir^2+2pir^2
150pi=4pir^2
divide by 4pi
37.5=r^2
r= sqrt(37.5)
r=6.12

Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
ok i have ABSOLUTLEY NO CLUE WHAT TO DO I AM SOOO LOST ! PLEASE SOMEONE HELPME!!
Find the radius of the right cylinder shown, in which the height of the cylinder is equal to the diameter.

Think of a tin can.

Surface area = circumference*height + area of the top circle + area of the bottom circle

     |       |        |         |   |            |           |               |            

     S       =    (2**r) *   h   +          *rē         +             *rē

           

           

Since the height equals the diameter, and the diameter equals twice the radius,

the height equals twice the radius, so substitute 2r for h

           

           

           
         
Substitute  for S

           

Divide both sides by 

           

The 's cancel on the left and 6 divided into 150 is 25

              

              

              

Edwin


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