Find the volume of a cone of height 8 centimeters and base radius 6 centimeters. This cone is sliced by a plane that is parallel to the base and 2 centimeters from it. Find the volumes of the two resulting solids. One is a cone, while the other is called a frustum.

Answer 1

use similar triangles (a side view) to find the radius of the slice 2cm up.

Then you can find the volume of the frustrum by subtracting the top part from the whole cone.