SOLUTION: A sphere is inscribed in a cylinder (the great circle is is also the circumfrance of the cylinder). Find the ratio (simplified) of the volume of the sphere to the volume of the cyl

Algebra ->  Volume -> SOLUTION: A sphere is inscribed in a cylinder (the great circle is is also the circumfrance of the cylinder). Find the ratio (simplified) of the volume of the sphere to the volume of the cyl      Log On


   

Question 584499: A sphere is inscribed in a cylinder (the great circle is is also the circumfrance of the cylinder). Find the ratio (simplified) of the volume of the sphere to the volume of the cylinder. Please Help....... I do not understand!!!!!!
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A sphere is inscribed in a cylinder (the great circle is is also the circumfrance of the cylinder). Find the ratio (simplified) of the volume of the sphere to the volume of the cylinder.
----------
For the cylinder: Vol+=+pi%2Ar%5E2%2Ah
h = 2r
--> Vol+=+pi%5Er%5E2%2A2r+=+2+pi%2Ar%5E3
-----
For the sphere: Vol+=+4%2Api%2Ar%5E3%2F3
===============================
Ratio = %284%2Api%2Ar%5E3%2F3%29%2F%282%2Api%2Ar%5E3%29
= %284%2F3%29%2F2+=+2%2F3