[MA}:
24 * 3/4 = 18
The explanation:
The radius of smaller cone is 3/4 the radius of the original cone, so since these cones are similar, height must also be 3/4 smaller.
So since radius is squared and we also multiply the height (V = 1/3 π [tex]r^{2}[/tex] h),
The volume of smaller cone would be [tex]3^{3}[/tex] / [tex]4^{3}[/tex] = 27 / 64 smaller
Writer's note: Hope this helps!
[xArtsy]
