Set up, but do not evaluate an integral for the volume

Question

Revolving the region bounded by f(x) = sqrt(x) and g(x) = -(1/2)x+4 and y = 0 about the x-axis

(sqrt is square root)

Answer 1

Graph these 2 lines to see that they intersect at (4,2) and that the x intercept of the straight line is (0,8).

The required volume is the sum of 2 integrals

from 0 to 4 of pi x dx + from 4 to 8 pi [4 - (x/2)]² dx