# How do you use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by y = 32 - x^2 and y= x^2 revolved about the x=4?

since $y = 32 - {x}^{2} \mathmr{and} y = {x}^{2}$ meet at $x = 4$ so there no solid exist when rotated at x=4.