SOLUTION: Find the height and surface of the right circular cylinder with the height equal to the diameter. height=2r and volume=128πcm height= surface araea= Please help me th

Algebra ->  Surface-area -> SOLUTION: Find the height and surface of the right circular cylinder with the height equal to the diameter. height=2r and volume=128πcm height= surface araea= Please help me th      Log On


   

Question 816892: Find the height and surface of the right circular cylinder with the height equal to the diameter. height=2r and volume=128πcm
height=
surface araea=
Please help me thank you!
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Find the height and surface of the right circular cylinder 

with the height equal to the diameter. height=2r



S+=+2pi%2Arh+%2B+2pi%2Ar%5E2

S+=+2pi%2Ar%2A2r%2B+2pi%2Ar%5E2

S+=+4pi%2Ar%5E2%2B+2pi%2Ar%5E2

S+=+6pi%2Ar%5E2

V = 128π cm^3 = pi%2Ar%5E2h

V= pi%2Ar%5E2%2A2r+=+2pi%2Ar%5E3+=+128pi+cm%5E3

  2pi%2Ar%5E3+=+128pi+cm%5E3

       r%5E3+=+64, r = 4cm

h = 8cm

S+=+6pi%2Ar%5E2+=+6pi%2A16+=+96picm^2