// define the interfaceinterface Measurable { public abstract double getArea();}// create an abstract class shapeabstract class Shape implements Measurable { String type; String name; // constructor of Shape class Shape(String name) { this.name = name; } // accessor for type public String getType() { return type; } // accessor for name public String name() { return name; } // setter for name public void setName(String name) { this.name = name; } // define toString method public String toString() { return (type + " : " + name); }}// define Rectangle class that extends Shape classclass Rectangle extends Shape { double width; double height; Rectangle(String name, double width, double height) { super(name); this.type = "rectangle"; this.width = width; this.height = height; } public double getWidth() { return width; } public double getHeight() { return height; } public double getArea() { return width * height; } public String toString() { return (type + " : " + name + " - [" + width + " , " + height + "]"); }} 4. Define a concrete dass Sphere which extends the Shape class.a. It has radius field of type double.b. Provide single constructor that takes two input parameters: name and radius resp.c. Provide the accessor method.d. Implement the unimplemented method getArea() so that it returms the surface area ofthe sphere object.e. Override toString() method so that it returms the following information:i"(type): (name) - [(radius}]" e.g., sphere: my_sphere_1- [3.0]5. Now imagine you are given an array of different shapes and are required to sort them basedon the area.a. Define a static method sort in the cdass ShapeUtil that will sort the array of differentShape objects. (You may use any sorting algorithm, just make sure you implement ityourself)b. Define another static method printShapes in the class ShapeUtil that prints an array ofShape objects in a single row. Consider using toString() methods of those.6. The customer is willing to paint all the Shape objects. If he provides us with the number ofliters of paint per can and the number of cans he bought, could you define a method [staticmethod getPaintedShape in cass PaintManager] that takesa. the array of shapesb. the volume of a single canc. the number of cansand return the shapes that will be completely painted.d. If the amount of paint is not sufficient, he desires to paint as many shapes as possible.7. Customer also need you to provide her with the following functionality:a. As there are many objects and she likes to name each of them, somefimes she forgetsabout some. For simplicity, assume that the names are unique (there are no two objectswith the same name)b. Define a method [findShapeByName in the class ShapeUtil which will take an array ofShape objects and a String name, which returnsi the Shape object with that name if exists ori. null if there are no object with that name.

Question

// define the interfaceinterface Measurable {    public abstract double getArea();}// create an abstract class shapeabstract class Shape implements Measurable {    String type;    String name;    // constructor of Shape class    Shape(String name) {        this.name = name;    }    // accessor for type    public String getType() {        return type;    }    // accessor for name    public String name() {        return name;    }    // setter for name    public void setName(String name) {        this.name = name;    }    // define toString method    public String toString() {        return (type + &#34; : &#34; + name);    }}// define Rectangle class that extends Shape classclass Rectangle extends Shape {    double width;    double height;    Rectangle(String name, double width, double height) {        super(name);        this.type = &#34;rectangle&#34;;        this.width = width;        this.height = height;    }    public double getWidth() {        return width;    }    public double getHeight() {        return height;    }    public double getArea() {        return width * height;    }    public String toString() {        return (type + &#34; : &#34; + name + &#34; - [&#34; + width + &#34; , &#34; + height + &#34;]&#34;);    }} 4. Define a concrete dass Sphere which extends the Shape class.a. It has radius field of type double.b. Provide single constructor that takes two input parameters: name and radius resp.c. Provide the accessor method.d. Implement the unimplemented method getArea() so that it returms the surface area ofthe sphere object.e. Override toString() method so that it returms the following information:i&#34;(type): (name) - [(radius}]&#34; e.g., sphere: my_sphere_1- [3.0]5. Now imagine you are given an array of different shapes and are required to sort them basedon the area.a. Define a static method sort in the cdass ShapeUtil that will sort the array of differentShape objects. (You may use any sorting algorithm, just make sure you implement ityourself)b. Define another static method printShapes in the class ShapeUtil that prints an array ofShape objects in a single row. Consider using toString() methods of those.6. The customer is willing to paint all the Shape objects. If he provides us with the number ofliters of paint per can and the number of cans he bought, could you define a method [staticmethod getPaintedShape in cass PaintManager] that takesa. the array of shapesb. the volume of a single canc. the number of cansand return the shapes that will be completely painted.d. If the amount of paint is not sufficient, he desires to paint as many shapes as possible.7. Customer also need you to provide her with the following functionality:a. As there are many objects and she likes to name each of them, somefimes she forgetsabout some. For simplicity, assume that the names are unique (there are no two objectswith the same name)b. Define a method [findShapeByName in the class ShapeUtil which will take an array ofShape objects and a String name, which returnsi the Shape object with that name if exists ori. null if there are no object with that name.

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