Let Rbe the region enclosedby the curves; x=3, x=4, y=3/x, andy=1/x

Let Sbe the solid of revolution obtained by revolving the region Rabout the line x=2 Ineed help to compute the volume of Sby using the method of cylindrical shells.

a)Let xbe a real number in the interval [3,4] Considera typical cylindrical shell of thickness x obtained by revolving about the line x=2the thin strip of the region Rthat lies between xand (x+x). For such a shell, please help me findexpressions for its approximate radius r(x)and its approximate height h(x)

b) The volume of atypicalshell as described above is approximately A(x)x. What is the function A(x)?

c) Please determine the volume of Swith 0.01 precision.