Question

Consider the region in the xy-plane bounded by the curves y = 3√x, x = 4...

Consider the region in the xy-plane bounded by the curves y = 3√x, x = 4 and y = 0.

(a) Draw this region in the plane.

(b) Set up the integral which computes the volume of the solid obtained by rotating this region about

the x-axis using the cross-section method.

(c) Set up the integral which computes the volume of the solid obtained by rotating this region about

the y-axis using the shell method.

(d) Set up the integral which computes the volume of the solid obtained by rotating this region about

the y-axis using the cross-section method.

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