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I1. The volume of cones : frustums The frustum of a cone is a solid figure formed from a cone by removing a slice at the top parallel to the base. The volume of this object can be found by subtracting the volume of the missing slice from the original total volume. Suppose the original cone had a height of h1 and radius r1. Suppose the removed cone had a height of h2 and radius r2, then the required volume is If r2 is known then h2 can be calculated from it using similar triangles.