Question 889516
You are asking two related questions, but I will help with the second one.


Volume of a cone, {{{(1/3)h*pi*r^2}}}.

Volume of sphere, {{{(4/3)pi*r^3}}}.


The volumes of the cone and sphere will be equal.  Just fill what is known and solve for what is unknown, one variable, the height of the cone.  


{{{(4/3)pi*(3^3)=(1/3)h*pi(1^2)}}}
{{{(4/3)3^2*pi=h(1/3)*1*pi}}}
Multiply by 3, divide by pi, BOTH SIDES
{{{4*3*3=h}}}
{{{highlight(h=36)}}}