# SOLUTION: I have a couple of problems that I am trying to help my daughter to understand but I admit it's been years and I can't remember how to do them so I am going to submit them one at a

Algebra ->  Algebra  -> Volume -> SOLUTION: I have a couple of problems that I am trying to help my daughter to understand but I admit it's been years and I can't remember how to do them so I am going to submit them one at a      Log On

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 Geometry: Volume, Metric volume Solvers Lessons Answers archive Quiz In Depth

 Question 140540: I have a couple of problems that I am trying to help my daughter to understand but I admit it's been years and I can't remember how to do them so I am going to submit them one at a time. I hope someone can help me help her. Here's the question: A cylinder has a volume of 85.6 cubic meters. If the radius is tripled and the height is doubled, what is the volume of the new cylinder? Thanks for your help!! JenniferAnswer by ankor@dixie-net.com(15623)   (Show Source): You can put this solution on YOUR website!A cylinder has a volume of 85.6 cubic meters. If the radius is tripled and the height is doubled, what is the volume of the new cylinder? : The volume of a cylinder V = pi*r^2*h You may be able to just look at this and see that it would be 18 times as much Anyway here is method: : 85.6 = pi*r^2*h ; Let x = new cylinder volume If you tripled the radius and doubled the height you could write it like this: x = pi* (3r)^2 * 2h x = pi * 9r^2 * 2h : A proportion equation: = Cancel our like terms and you have: = which is: = Cross multiply: 1x = 18 * 85.6 x = 1540.8