Question 1074830
That ratio means that if radius and height for the smaller cone is r and h, then for the larger cone, they are  (4/3)r and (4/3)h.


VOLUME, SMALL CONE
{{{(1/3)h*pi*r^2=18}}},  cubic inches


{{{(1/3)pi*(hr^2)=18}}}


VOLUME, LARGE CONE
{{{(1/3)(4/3)h*pi*((4/3)r)^2=V}}}


{{{(1/3)pi*((4/3)h)*(4/3)^2*r^2=V}}}


{{{(1/3)pi*highlight_green((4/3)^3)*hr^2=V}}}



To go from the small cone volume to the large cone volume, multiply the small cone's volume by  {{{highlight_green((4/3)^3)}}}.

{{{V=18*(4/3)^3}}}