dolution

Work through the parts of this exercise in order, and

use them to make a generalization concerning volumes

of spheres. Leave answers in terms of p.

(a) Find the volume of a sphere having radius of 1 m.

(b) Suppose the radius is doubled to 2 m. What is the

volume?

(c) When the radius was doubled, by how many times did

the volume increase? (To find out, divide the answer

for part (b) by the answer for part (a).)

(d) Suppose the radius of the sphere from part (a) is

tripled to 3 m. What is the volume?

(e) When the radius was tripled, by how many times

did the volume increase?

(f) In general, if the radius of a sphere is multiplied by

n, the volume is multiplied by .