SOLUTION: Please help me solve this problem: What is the ratio of the volume of the hemisphere to that of the cylinder. (there is a picture of a cylinder with a hemisphere in it) I know t

Algebra ->  Volume -> SOLUTION: Please help me solve this problem: What is the ratio of the volume of the hemisphere to that of the cylinder. (there is a picture of a cylinder with a hemisphere in it) I know t      Log On


   



Question 808317: Please help me solve this problem: What is the ratio of the volume of the hemisphere to that of the cylinder. (there is a picture of a cylinder with a hemisphere in it)
I know they have the same height. I also know the volume of the cylinder is {pi(r^2)h} and the volume of the hemisphere is {(2/3)(pi)(r^3)}.
Thank you!

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
What is the ratio of the volume of the hemisphere to that of the cylinder.
:
we know the height of the cylinder = r also
Hemisphere:cylinder ratio
2%2F3pi%2Ar%5E3
----------
pi%2Ar%5E2%2Ar
which is
2%2F3pi%2Ar%5E3
--------
pi%2Ar%5E3
Cancel pi%2Ar%5E3
%282%2F3%29%2F1 = The ratio 2:3