After having done the hand calculation and pseudocode for a program that models inflating a spherical balloon, now implement the task in C$++.$ Remember, first the balloon is inflated to have a certain diameter $($which is provided as an input$).$ Then you inflate the balloon so that the diameter grows by an inch, and display the amount the volume has grown. Repeat that step: grow the diameter by another inch and show the growth of the volume.

Here is an example program run output:

Diameter: $10$

Increase: $173$

Increase: $208$

Match the formatting of the sample program run in your solution.