Question 1: In this lab exercise you will develop a class hierarchy of shapes and write a program that computes the amount of paint needed to paint different objects. The hierarchy will consist of a parent class Shape with three derived classes - Sphere, Rectangle, and Cylinder. For the purposes of this exercise, the only attribute a shape will have is a name and the method of interest will be one that computes the area of the shape (surface area in the case of three- dimensional shapes). Do the following. a. Write an abstract class Shape with the following properties. An instance variable shapeName of type char*, An abstract method areal), A toString method that returns the name of the shape b. Class for a sphere which is a descendant of Shape. A sphere has a radius and its area (surface area) is given by the formula 4*PI*radius^2. Define similar classes for a rectangle and a cylinder. Both the Rectangle class and the Cylinder class are descendants of the Shape class. A rectangle is defined by its length and width and its area is length times width. A cylinder is defined by a radius and height and its area (surface area) is Pl*radius^2*height. Define the toString method in a way similar to that for the Sphere class. c. Class for a type of paint (which has a "coverage" and a method to compute the amount of paint needed to paint a shape). Correct the return statement in the amount method so the correct amount will be returned. Use the fact that the amount of paint needed is the area of the shape divided by the coverage for the paint. (NOTE: Leave the print statement - it is there for illustration purposes, so you can see the method operating on different types of Shape objects.) d. In main a paint object has been instantiated. Add the following to complete the program. Instantiate the three shape objects: deck to be a 20 by 35 foot rectangle, bigBall to be a sphere of radius 15, and tank to be a cylinder of radius 10 and height 30. Make the appropriate method calls to assign the correct values to the three amount variables. Run the program and test it. You should see polymorphism in action as the amount method computes the amount of paint for various shapes. e. At the end write the cout statements in constructors and destructors in Shape and its descendant classes after that in main delete the Base class pointerfi.e Shape *s) and see if there is any undefined behavior