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Let R be the region hounded by the curves y=3:2E and y=322. Let 5' he the solid of revolution obtained by revolving the region R about the line ar = 3. The goal of this exercise is to compute the volume of S by using the method of cylindrical shells. 3} Determine the smallest xcoordinate :1 and the largest xcoordinate :2 of the points in this region. bl Let a: he a real number in the interval [21,22]. Consider atypical cylindrical shell ofthiokness as obtained by revolving about the line 3 = 3 the thin stn'p oftne region Rinat lies between a: and a: + A: For such a shell, nd expressions for its approximate radius r(z} and its approximate height {"13}. The volume of a typical shell as described above is approximately A (x) 4:. What is the function A (x)? /a sin (a) III A(I) = FORMATTING: Do not include the thickness Ax in your expression for A(I). c) Determine the volume of $ with +0.01 precision. Answer: |Number