Question 186389
the volume of the sphere is how much of the volume of the smallest cylinder
 that can contain it?
:
The height of the cylinder will have to be the diameter (2r) of the sphere which has the same radius as the cylinder
:
{{{(cylinder vol)/(sphere vol)}}} = {{{(pi*r^2*(2r))/((4/3)pi*r^3)}}}
cancel {{{pi*r^2}}}
{{{(2r)/((4/3)*r)}}}
Cancel r
{{{(2)/(4/3)}}} = 2 * {{{3/4}}} = {{{3/2}}}
:
We can also say the sphere is {{{2/3}}} the vol of the cylinder