Cylinder A and B are similar, then there is a constant ratio (r)between them.
Cylinder A :
height (hA)= 32 ft
radius (rA)= 28 ft
Cylinder B :
height (hB)= ?
radius (rB)= 7 ft
Since they are similar then there is (r) in which:
hA = r hB
==> 32= r hB
==> hB= 32/r ....(1)
Also we have:
rA= r rB
28 = r (7)
==> r= 28/7 = 4
Then from (1):
hB= 32/r= 32/4 =8 ft
Then the height of cylinder B = 8 ft.
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