SOLUTION: how much greater is the combined surface area of two cylinders each with a height of 4cm and a radius of 2cm than the surface area of a single cylinder with a height of 8cm and a r

Question 892443: how much greater is the combined surface area of two cylinders each with a height of 4cm and a radius of 2cm than the surface area of a single cylinder with a height of 8cm and a radius of 2cm?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
how much greater is the combined surface area of two cylinders each with a height of 4cm and a radius of 2cm than the surface area of a single cylinder with a height of 8cm and a radius of 2cm?
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surface area of 2 cylinders:
area of 4 ends=4*πr^2=4π(2^2)=16π
area of 2 sides=2*circumference*height=2*2πr*4=16πr=32π
surface area of 2 cylinders=32π+16π=48π cm^2
..
surface area of single cylinder:
area of 2 ends=2*πr^2=2π(2^2)=8π
area of 1 side=circumference*height=2πr*8=16πr=32π
surface area of single cylinder=32π+8π=40π cm^2
..
combined surface area of the two cylinders is greater than the surface area of the single cylinder by 8π cm^2.
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