If the curve in the yz-plane with equation z = f(y) is rotated around the y-axis, an equation of the resulting surface of revolution is (A) x^{2}+ z^{2}= [f(y)]^{2}, (B) x^{2}+ z^{2}= f(y), (C) x^{2}+ z^{2}= |f(y)|, (D) y^{2}+ z^{2}= |f(y)|, (E) y^{2}+ z^{2}= [f(x)]^{2}.

Which of these and why?