Question

Write a test program called Main. Modify the Sphere class to implement the Comparable interface, and define a compareshape( method in the Sphere class for finding the larger volume of three Sphere objects. filled or not.

Answer 1

A Sphere class needs to be updated to implement the Comparable interface for comparing volumes. The compareshape method will use the formula V = (4/3)πr³ to determine the larger volume between three spheres.

Step-by-step explanation:

The question asks for the modification of a Sphere class to implement the Comparable interface and to define a compareshape method that finds the larger volume among three Sphere objects, regardless of whether they are filled or not. The Comparable interface is typically used in Java to allow for comparison between objects, in this case Spheres, based on volume.

To calculate the volume of a sphere, the formula V = (4/3)πr³ (where r is the radius) is used. From the information provided, it is evident that the volume of a sphere is directly proportional to the cube of the radius (r³). Therefore, in the compareshape method, one would compare the volumes calculated using the given radii of the three spheres.

The correct expression for the volume of a sphere is V = (4/3)πr³, whereas the expression for its surface area is simply 4πr². This distinction is crucial when implementing the method for volume comparison.