Kindly solve the following questions

Determine the diameter of a hole that is drilled vertically through the center of the solid bounded by the graphs of the equations z = 20e -(x4 + y") / 4, z = 0, and x2 + y = 16 if one-tenth of the volume of the solid is removed. (Round your answer to four decimal places.)Let f(x, y, z) = x + yz and let C be the line segment from P = (0, 0, 0) to (8, 9, 6). (a) Calculate f(r(t)) and ds = [r'(t) || dt for the parametrization r(t) = (8t, It, 6t) for 0