The cylinder

In a rotating cylinder it is given: the surface of the shell (without bases) S = 96 cm2 and the volume V = 192 cm cubic. Calculate the radius and height of this cylinder.

Correct result:

r =  4 cm
h =  3.8197 cm

Solution:

S=96 cm2 V=192 cm3  S=2π r h V=πr2 h  h=S2π r  V=πr2 S2π r  V=r S2  r=2 V/S=2 192/96=4 cm  h=S2π r=962 3.1416 43.8197 cm    Verifying Solution:  S1=2π r h=2 3.1416 4 3.8197=96 V1=π r2 h=3.1416 42 3.8197=192  S1=S,V1=V



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