SOLUTION: The volume V of a cylinder with a fixed height is directly proportional to the square of its radius r. If a cylinder with a radius of 10 inches has a volume of 200 cubic inches, wh

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The volume V of a cylinder with a fixed height is directly proportional to the square of its radius r. If a cylinder with a radius of 10 inches has a volume of 200 cubic inches, wh      Log On


   

Question 425571: The volume V of a cylinder with a fixed height is directly proportional to the square of its radius r. If a cylinder with a radius of 10 inches has a volume of 200 cubic inches, what is the bolume of a cylinder with the same height and a radius of 5 inches?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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The volume V of a cylinder with a fixed height is directly proportional to the square of its radius r.
If a cylinder with a radius of 10 inches has a volume of 200 cubic inches, what is the volume of a cylinder with the same height and a radius of 5 inches?
:
Let v = volume of the 5 inch cylinder
:
10%5E2%2F5%5E2 = 200%2Fv = 100%2F25 = 200%2Fv
Cross multiply
100v = 200*25
100v = 5000
v = 5000%2F100
v = 50 cu inches