2. A torus (donut) shaped lifebelt is being pumped full of air. The volume is given by V = 212,2 R where r is the inner radius and R is the outer radius of the torus. If the rate
at which the inner radius is increasing is A cm per second, and the rate at which the outer
radius is increasing is B cm per second when r = 2 and R = 5 respectively, use the concept
of related rates to find the rate at which the volume is increasing. Leave your answer in
terms of A and B.
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