8. A cone is to be constructed so that, if its radius is r, its height must be h = 100 r2. We wish to maximize the volume of the cone. (The formula for the volume of a cone is V Tr2h) (a) Give the volume function of the cone V (r) (in terms of its radius). Specify the domain, keeping in mind that radius and height cannot be negative. (b) Find the value of r which maximizes the volume ofthe cone. You must show that the value of r you get gives the maximum volume.