SOLUTION: The volume of a cylinder is given by the formula V=πr2h. If r is increased by 50% and the height is reduced by 25%, what will happen to the volume? What is the constant of variati

Algebra ->  Proportions  -> Lessons -> SOLUTION: The volume of a cylinder is given by the formula V=πr2h. If r is increased by 50% and the height is reduced by 25%, what will happen to the volume? What is the constant of variati      Log On


   

Question 1172753: The volume of a cylinder is given by the formula V=πr2h. If r is increased by 50% and the height is reduced by 25%, what will happen to the volume? What is the constant of variation?

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


V+=+%28pi%29%28r%5E2%29%28h%29

When the radius in increased by 50%, the radius is changed by a factor of 1.5.

When the height is reduced by 25%, the height is changed by a factor of 0.75.

So the volume is changed by a factor of

%281.5%5E2%29%280.75%29+=+%28%283%2F2%29%5E2%29%283%2F4%29+=+27%2F16

The constant of variation is obviously pi....