SOLUTION: a spherical ball of maximum size is fit into a cylindrical vessel of radius 5 units and height 5 units.the ratio of the volume of the sphere to that of the cylinder is.

Algebra ->  Bodies-in-space -> SOLUTION: a spherical ball of maximum size is fit into a cylindrical vessel of radius 5 units and height 5 units.the ratio of the volume of the sphere to that of the cylinder is.      Log On


   

Question 768344: a spherical ball of maximum size is fit into a cylindrical vessel of radius 5 units and height 5 units.the ratio of the volume of the sphere to that of the cylinder is.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Volume of sphere = %284%2F3%29+pir%5E3
Volume of cylinder = +pi+%2A+r%5E2%2Ah

Ratio of volumes = %28%284%2F3%29+pi%2Ar%5E3%29%2F%28pi+%2A+r%5E2%2Ah%29
But h=2r
Ratio = %28%284%2F3%29+pi%2Ar%5E3%29%2F%28pi+%2A+r%5E2%2A%282r%29%29

= +%284%2F3%29+%2F2
=2%2F3