Suppose a solid is formed by revolving the function f(x)=2+mx around the x-axis where 0≤m<1 and 0≤x≤1, and a washer is created by drilling a hole in the solid that corresponds to the function g(x)=1−mx. Determine the volume of the resulting washer as a function of m, and confirm the result for m=0 using the formula for a cylinder.
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