Use the disk method to find the volume of the solid generate

Use the disk method to find the volume of the solid generated when the region bounded by y = 1 / , y = 0, x = 0, and x = 1 / 30 is resolved about the x-axis. The volume is . (Type an exact answer, using pi as needed.)

Solution

Volume = Integrate(l.m)[f(x)]^2dx

Volume

= *Integrate((1/30),0)[1/(1-225x^2)]dx

= = *Integrate((1/30),0)[1/(1-(15x)^2)]dx

= *(1/3)*(1/30 - 1/1)

= /90

= 0.035