SOLUTION: A cone's height is six times greater than the measure of the cone's radius. The volume of the cone is 339.12 in 3. What are the cone's radius and height? Round to the nearest hundr

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Question 1077098: A cone's height is six times greater than the measure of the cone's radius. The volume of the cone is 339.12 in 3. What are the cone's radius and height? Round to the nearest hundredth.
Found 2 solutions by KMST, Alan3354:
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
r= cone's radius, in inches
h=6r= cone's height, in inches
The volume of a cone is
%281%2F3%29%2Api%2Ar%5E2%2Ah , so in this case, the volume (in cubic inches) is
%281%2F3%29%2Api%2Ar%5E2%2A6r=highlight%282pi%2Ar%5E3=339.12%29 .
All you have to do is solve for r ,
and then calculateh=6r .
Solving for r:
2pi%2Ar%5E3=339.12
r%5E3=339.12%2F%222+pi%22=about53.972624
r=aboutroot%283%2C53.972624%29=abouthighlight%283.779%29
So, the radius, founded to the nearest hundredth is highlight%283.78inches%29 .
You can calculate the height,
but do not forget to write inches as the unit.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A cone's height is six times greater ...
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1 time greater is a 100% increase = 2x as great.
2 times greater = 3x as great.
3 times greater = 4x as great.
4 times greater = 5x as great.
5 times greater = 6x as great.
6 times greater = 7x as great.