Use the shell method to find the volume of the solid generated by revolving the shaded region about the x-axis.

Question

x=y²/3, 0 to 3

Answer 1

Volume = 2*pi [integral (0-3) p(x)h(x)dx

 

Volume = 2pi[integral(0-3).[Sqrt(3x)(3-x)]]

 

        on simplification

 

   =72*pi/5