SOLUTION: a soup company multiplies the dimensions of its cylindrical soup can by a scale factor increasing the volume of a can from 400 cubic centimeters to 1,350 cubic centimeters. if the

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Question 972011: a soup company multiplies the dimensions of its cylindrical soup can by a scale factor increasing the volume of a can from 400 cubic centimeters to 1,350 cubic centimeters. if the height of the original can was 5 centimeters, which is the closest to the height of the new can?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Original volume
h%2Api%2Ar%5E2=400
5%2Api%2Ar%5E2=400

New volume
%285%2Ak%29pi%28r%2A5%29%5E2=1350
k%2A5pi%28r%5E2%29%2A25=1350
25%2A5kpi%2Ar%5E2=1350
125k%2Api%2Ar%5E2=1350

New height is 125k.

note that pi%2Ar%5E2=400%2F5 from the original can.
pi%2Ar%5E2=80

125k=1350%2F%28pi%2Ar%5E2%29
125k=1350%2F80
highlight%28125=16.875%29, height of the new can.