Question 1064720
Volume of the sphere
{{{(4/3)pi*(10/2)^3}}}


{{{(4/3)pi*(5^3)}}}


{{{(500pi)/3}}}




Cone volume needs to be the same as for the sphere.
r is radius of this cone's circular base.
{{{(1/3)*3*pi*r^2=500pi/3}}}


{{{pi*r^2=500pi/3}}}


{{{r^2=500/3}}}


{{{highlight(r=10*sqrt(5/3))}}}
(or you could continue and rationalize the denominator.)