Consider the region bound by the parabola y = 9-x2, the semicircle y = (4-x^2)^1/2 and
the intervals [-3;-2] and [2; 3] of the x-axis. Write an integral (or sum of integrals)
representing the volume of the solid obtained by revolving this region about the x-axis.
You do not have to compute a numerical answer.

Question

Consider the region bound by the parabola y = 9-x2, the semicircle y = (4-x^2)^1/2 and
the intervals [-3;-2] and [2; 3] of the x-axis. Write an integral (or sum of integrals)
representing the volume of the solid obtained by revolving this region about the x-axis.
You do not have to compute a numerical answer.

anonymous · Answer

Not really sure how to do this. Think I need 2 methods?

anonymous · Answer

maybe inegrate with respect to y? so solve for x, find the new boudaries and add integrals seperately