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A right circular cone (shaped like "an inverted ice cream cone" ), has height h and a circular base (radius r) which is perpendicular to the cone's axis. In this exercise you will calculate the volume of this cone. h Figure 1.2: For problem 1.12, N=10 (1) Make N uniform slices of the cone, each one parallel to the bottom, and of height h/N. Inside each slice put a cylindrical disk of the same height. The radius of the slices vary from 0 at the top to nearly r at the bottom. (See Figure 1.2, N = 10.) Use similar triangles to answer these questions: (a) What is the smallest disk radius other than (? (b) What is the radius of the kth disk? (2) Express the total volume of the N disks as a sum. (3) As N gets larger, what is the limit of this sum? (This is the volume of the cone.)