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May 6th, 2009, 12:15 PM   #1
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sphere and cylinder

Is a sphere and cylinder is inside sphere. Cylinder volume is maximum. I have to find how many times is sphere volume bigger than cylinder. Scheme look like this:


I know answre 3^1/2 , but I need to know how to solution that !
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May 6th, 2009, 12:53 PM   #2
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Re: sphere and cylinder

Hint: The cylinder is maximum when the diameter is equal to the height.
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May 6th, 2009, 12:53 PM   #3
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Re: sphere and cylinder

Quote:
Originally Posted by Dave
Hint: The cylinder is maximum when the diameter is equal to the height.
you meen sphere diameter ?
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May 6th, 2009, 12:56 PM   #4
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Re: sphere and cylinder

sorry, my stupid question, of course you meen cylinder diameter
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May 6th, 2009, 01:14 PM   #5
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Re: sphere and cylinder

still i have problem ! I know i have to use pythagorose theorem r^2+(2r)^2=R^2 (R - sphere radius, r - cylinder radius) . To move on i have still problems !
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May 6th, 2009, 02:45 PM   #6
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Re: sphere and cylinder

Use your knowledge of Euclidean geometry. See the following figure, based upon what I suggested, and a sphere radius of 3, you should see why the given numbers are there. Now you should be able to calculate the volume of each and compare.

[attachment=0:1vnkx5md]sphere.jpg[/attachment:1vnkx5md]
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