Set up the integral that uses the method of disks/washers to find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified lines.

Question

Y=5√x , y=5, x=0

a)about the y=5

b)about the line x=5

Answer 1

a) v = π∫₀¹[25 - (5 - 5√x)²]dx,

b) v = π∫₀⁵[25 - (5 - y²/25)²]dy