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Suppose that R is the finite region bounded by f(x)=4√(x) and g(x)=x. Find the exact value of the volume of the object obtained when rotating R about the x-axis.
A) Find the volume of R when rotated about the y-axis.
B) Determine the surface area of R when rotated about the x-axis.
C) Calculate the volume of R when rotated about the y-axis.
D) Find the surface area of R when rotated about the y-axis.