Introduction

This assignment asks you to model a cylindrical Bucket of water. Inside of this bucket may be at most one item that is either spherical cubical. Your model of this bucket should be Comparable and also throw an exception if the user attempts to place an item into the bucket which is too large to fit.

Specifics of the Bucket class

• The class should be called Bucket
• The constructor should accept the radius and height of the cylindrical bucket
• The getBucketRadius(...) method should return the bucket's radius
• The getBucketLength(...) method should return the bucket's length
• The placeItem(...) method should accept the edgeLength of the cube
• The removeItem(...) method should take the item out of the bucket, leaving it empty
• The getItemDimension(...) method should return the length of the item's edge, or throw the EmptyBucketException, of your own creation, if empty
• The getItemVolume(...) method should return the total volume of the item, or throw the EmptyBucketException, of your own creation, if empty
• The getBucketVolume(...) method should return the total volume of the bucket
• The getAvailableBucketVolume(...) method should return the total available volume of the bucket, subtracting away the volume of the item, if any
• The toString() method should properly serialize the properties of both the bucket and any possible item
• The equals() method should compare buckets based only upon their available volume
• The Bucket class should be Comparable, based only upon the availabel volume
• All dimensions should be doubles.

Hints

• V_cylinder=PI * radius²*height
• V_cube=edge³
• The widest point on a square is from one corner to the opposing corner. Think c2=a2+b2

The Test Driver main()

The main() method of the Bucket class should serve as a non-interactive test driver. We will be grading this based upon its thoroughness -- and the ease with which a reader can interprete the output. Please make the output easy to understand, without knowledge of the code.

The InteractiveBucket main()

Please create an additional class, InteractiveBucket that creates two buckets and compares them -- except that, unlike the main() of the Bucket class, this main() should be interactive -- it should prompt the user for all values. This method need not be an exhaustive test. It need only alow the user to create two buckets, with or without items inside -- at the user's option -- and then compare them.

It should do something user-friendly in the event that an item will not fit into the bucket. In other words, it should handle the exception.