The Leibniz formula is a way of calculating the value of pi.

Write a program in Python that contains a function which calculates pi per the Leibniz formula, based on the number of values passed to it. The rest of the program should:

1. prompt the user for input,
2. call the function, and
3. print the value of pi based on the users input. (The correct answer is 3.058402765927333 when the user enters 12.)

Modify the program you wrote for above ,so that it includes a class based on the Leibniz formula. That class should contain:

1. An attribute for storing the calculated value of pi,
2. A constructor for instantiating an instance of the class,
3. Four new methods which use the calculated value of pi and a user-supplied radius value to calculate the:
   • Circumference of a circle
   • Area of a circle
   • Surface area of a sphere
   • Volume of a sphere

Here is a design you can use for the program:

The program should print the results of interacting with the class according to the following format (3 decimal points of accuracy, right aligned). This example is based on a user input of 12 to the first prompt and 4.5 for the value of the radius: