2. A cylinder is inscribed in a sphere of radius 4in. as shown in the diagram below. a. Find the volume of the cylinder as a function of x, where x is the height of the cylinder. b. State the domain of the function. c. Find the height of the cylinder that will maximize the volume. Round to the nearest hundredth inch. d. Find the value(s) of x that will yield a volume of 427 . Round to the nearest tenth. V = TTrah a. 4in b. C. d