The volume V (r) of a sphere is a function of its radius r. Suppose a spherical snowball with a

radius 2 f t started to melt so that the radius is changing at a constant rate of 4.5 inches per minute.
If f(t) feet is the radius of the snowball after t minutes, do the following:

a. Compute (V ◦ f)(t) and interpret your result.
[Hint: Find V (r) first.]

b. Find the volume of the snowball after 3 minutes

2 answers

We all know that

V(r) = 4pi/3 r^3

clearly, f(t) = 21-4.5t
V(f(t)) = 4pi/3 (21-4.5t)^3

Now just plug in your numbers
the answer in letter b please