In: Math
Answer the following questions:
Part A: Volumes of Revolution
a) Find the volume of the solid obtained when the region bounded by y = 1/x , and the lines x = 1, x = 3 and y = 0 is rotated about the x-axis.
b) Find the volume of the solid obtained by revolving the region bounded by the parabolas y = x^2 and y^2 = 8x about the x-axis.
c) Find the volume of the solid obtained by revolving the region bounded by y^2 = x and y = x^3 about the x-axis.