Please do in C++

You have been given the contract for making little conical cups that come with bottled water. These cups are to be made from a circular waxed paper of 4 inches in radius by removing a sector of arc-length x. by closing the remaining part of the circle, a conical cup can be made Your objective is to remove the sector so that the volume of the cup can be maximized. FIGURE 5-4 Conical paper cup Specifications: Write a program that prompts the user to enter the radius of the circular waxed paper in inches. The program should then output the length of the removed sector that maximizes the volume, in addition to the volume of the conical cup. Calculate your answer to two decimal places. Use a named constant value of 3.141592654 for Tt. NOTE: In this example, the radius is shown to be 4, but that is only an example showing the relationship between the radius of the circle and the hypotenuse of the conical cup. The radius in this case should be the input into the program Example Output: When you run your code with the following underlined inputs, your output should be Please enter the radius of the circular waxed paper: 5.3 Using circular waxed paper with a radius of 5.30 in, the length of the removed sector should be 6.11 in. The maximum volume will then be 60.01 in"3