Homework Help: math

Posted by Brandi on Saturday, October 31, 2009 at 9:58am.

Find the ratio of the volume of the cylinder to the volume of the hemisphere, given that the height,
h, of the cylinder is equal to the diameter, d, of the hemisphere

math - jim, Saturday, October 31, 2009 at 10:18am
volume of cyl: pi r^2 h

but if h = d then h = 2r, so

pi * r^2 * 2r

= 2pi * r^3

Vol of hemisphere = (1/2) volume of sphere:

= 2/3 pi r^3

So the ratio is obvious from those results.

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