Question 74597
For a square inscribed in a circle, the diagonal of the square is twice the radius of the circle.


area of circle is {{{pi*r^2}}}


area of square is  {{{2r^2}}}


the volume of a pyramid is {{{((area-of-base)*(height))/3}}} in this case{{{(2r^2h)/3}}}


the volume of a cylinder is {{{(area-of-base)*(height)}}} in this case {{{pi*r^2*3h}}}


the ratio of the volumes is {{{((2r^2h)/3)/(pi*r^2*3h)}}}


multiplying the top and bottom of the fraction by 3 and cancelling the h and the {{{r^2}}} leaves {{{2/(9pi)}}}