Matlab code

5. A cone with base radius r and vertex in contact with the surface of a sphere is constructed inside a sphere, as shown in the sphere. The radius of the sphere is R = 9 in. a) Create a polynomial expression for the volume V of the cone in terms of h. b) Make a plot of V versus h for -9sh9 c) Use roots command to determine h if the volume of the cone is 500 in3. Determine the value of h that corresponds to the cone with the largest possible volume, and determine that volume. d)