SOLUTION: A cylinder has its height doubled and its radius cut to one-third. What is the ratio of the volumes of the modified cylinder to the original cylinder? I have the volume of the m

Algebra ->  Volume -> SOLUTION: A cylinder has its height doubled and its radius cut to one-third. What is the ratio of the volumes of the modified cylinder to the original cylinder? I have the volume of the m      Log On


   



Question 626344: A cylinder has its height doubled and its radius cut to one-third. What is the ratio of the volumes of the modified cylinder to the original cylinder?
I have the volume of the modified cylinder to be (pi)(1/9)(r^2)(2h) and the original cylinder to be (pi)(r^2)h.
Solving this my answer would be 18:1.
Is this correct?
Thanks

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A cylinder has its height doubled and its radius cut to one-third.
What is the ratio of the volumes of the modified cylinder to the original cylinder?
:
Let original cylinder have a radius of 9, a height of 10
:
old%2Fnew = %28pi%2A9%5E2%2A10%29%2F%28pi%2A3%5E2%2A20%29 = 2544.690049%2F565.4866776 = 4.5 or a ratio of 9:2