An annular cylinder has an inside radius of r and an outside radius of r 2 (see

An annular cylinder has an inside radius of r₁ and an outside radius of r₂ (see figure). Its moment of inertia is I = 1/2m(r²₁+ r²₂), where m is the mass. The two
radii are increasing at a rate of 2 centimeters per second. Find
the rate at which I is changing at the instant the radii are
6 centimeters and 8 centimeters. (Assume mass is a constant.)

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