SOLUTION: The radius of a cylinder is increased by 40%, but the height is cut in half. What is the percent change in the volume of the cylinder?

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Question 1180620: The radius of a cylinder is increased by 40%, but the
height is cut in half. What is the percent change in
the volume of the cylinder?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
v=h%2Api%2Ar%5E2

The description, for the new volume,
%28h%2F2%29pi%281.4r%29%5E2

mostly simple algebra from there

Answer by ikleyn(52802) About Me  (Show Source):
You can put this solution on YOUR website!
.

The ratio of the new volume to the original volume is  %281%2F2%29%2A1.4%5E2 = 0.98.


So we have decrease of the volume by 2%.


Solved, answered and explained.