Exercise 2 Hint

(You may want to maximize your window to view the content more clearly.)

A rugby football is a prolate spheroid (that is, a "flattened spheroid") on which the long axis (called the polar axis, which would be shown as 2a in figure 2(a), below) is greater than the equatorial diameter whose radius of the center circular slice is given as b in figure 2(a). The prolate spheroid is circular in cross section and is elongated such that the length a is greater than b. This prolate spheroid can be modeled by revolving the ellipse

about the x‑axis (you will have to determine the values of a and b for the rugby ball).


Figure 2(a)
ellipse labeled with its polar axis and equatorial diameter     image of a rugby ball