Posted by **Anonymous** on Tuesday, February 14, 2012 at 6:23am.

4. At time t, t>0, the volume of a sphere is increasing at a rate proportional to the reciprocal of its radius. At t = 0, the radius of the sphere is 1 and at t = 15 the radius is 2.

a. Find the radius of the sphere as a function of t.

b. At what time t will the volume of the sphere be 17 times its volume at t = 0?

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