(d) assuming the theorem: The area of a spherical zone is equal two the product of the circumference of a great circle by the altitude of the cone, obtain the familiar formula for the area of a sphere and establish the theorem: the area of a spherical zone of one base is equal to that of a circle whose radius is the chord of the generating arc.
Assuming that the volume of a spherical sector is given by one-third the product of the area of it bacb and the rabius of the sphere, obtain the following results:
(e) The volune of a spherical segment of one base, cut from a sphere of radaus R, having h as altretude and a as the radrus of its base, is given by
(f) The volune of a spherical segment of one bases, having h as altitude and a and b as the radii of its bases, is given by
(g) The spherical segment of part (s is equivalent to the sum of a sphere of radius h/2 and 2 cylinders whose altitudes radii are a and b, respectively.