Question 1116876
For a cone,
{{{V[cone]=(pi/3)*R^2*H[cone]}}}
For a cylinder,
{{{V[cyl]=pi*R^2*H[cyl]}}}
So then,
{{{V[cone]=V[cyl]}}}
{{{(pi/3)*R^2*H[cone]=pi*R^2*H[cyl]}}}
{{{(1/3)*H[cone]=H[cyl]}}}
{{{H[cone]/H[cyl]=3}}}