A small cone of height 8 cm is cut off from a bigger cone to leave a frustum of height 16 cm. If the volume of the smaller cone is 260 cm^3, find the volume of the frustum.

1 answer

The smaller cone is 1/3 as tall as the original cone.
So, its volume is 1/3^3 = 1/27 of the total.
That is, the frustrum has 26 times the volume of the small cone.