Use the method of Exercise 2 to find the formula for the volume of a right circular cone of height h whose base is a circle of radius R [Figure 16(B)].

Data From Exercise 2

Let V be the volume of a right circular cone of height 10 whose base is a circle of radius 4 [Figure 16(A)].
(a) Use similar triangles to find the area of a horizontal cross section at a height y.

(b) Calculate V by integrating the cross-sectional area.

Transcribed Image Text:

(A) 10 0 R (B) h 0