Find the volume of the solid formed by rotating completely about the line y=2 the region enclosed by the curve y=x(2-x) and the x axis.

i don't know how to set up my y^2 so as to integrate it for the boundaries 0 and 2 (if they are orrect boundaries). the answer should come up to 64pi/15, the most important thing is i want to know where am going wrong as am getting near enough but not the right answer thanks.

Question

Find the volume of the solid formed by rotating completely about the line y=2 the region enclosed by the curve y=x(2-x) and the x axis.

i don't know how to set up my y^2 so as to integrate it for the boundaries 0 and 2 (if they are orrect boundaries). the answer should come up to 64pi/15, the most important thing is i want to know where am going wrong as am getting near enough but not the right answer thanks.

anonymous · Answer

can anybody help me with this question.