SOLUTION: If the volume of a cone is decreased by 20% and the height increased by 10%. How is the radius affected?

Algebra ->  Volume -> SOLUTION: If the volume of a cone is decreased by 20% and the height increased by 10%. How is the radius affected?       Log On


   

Question 1012873: If the volume of a cone is decreased by 20% and the height increased by 10%. How is the radius affected?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If the volume of a cone is decreased by 20% and the height increased by 10%. How is the radius affected?
--------
Volume Formula: V = (1/3)pi*r^2*h
--------
Modified:: 0.9V = (1/3)*pi*r^2*(1.1h)
----
Solve for "r"::
r^2 = 2.7/[pi*1.1h]
----
r = sqrt[(2.7/1.1)*pi*h]
========
Cheers,
Stan H.
---------------