SOLUTION: A cylindrical storage tank has a volume of 80 gallons and a height of 80 inches. If the cylinder is to maintain the same proportions, how tall would it have to be if the volume wer

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A cylindrical storage tank has a volume of 80 gallons and a height of 80 inches. If the cylinder is to maintain the same proportions, how tall would it have to be if the volume wer      Log On


   

Question 1198881: A cylindrical storage tank has a volume of 80 gallons and a height of 80 inches. If the cylinder is to maintain the same proportions, how tall would it have to be if the volume were to be increased to 120 gallons?
Answer by ikleyn(52919) About Me  (Show Source):
You can put this solution on YOUR website!
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The ratio of volumes is  120%2F80 = 1.5.


The ratio of linear dimensions is  root%283%2C1.5%29 = 1.14471  (rounded).


The increased height should be  1.14471*80 = 91.577 inches  (rounded).   ANSWER

Solved.