Write the programs below using Python. You can write all the programs into one file, no need to submit multiple .py files.

Conversions. This set of problems involves conversions of a value in one unit to another unit. Each program should prompt the user for a value in the specified units and then print the converted value, along with the new units.

• Write a program to convert pounds to kilograms. (Recall that 1 kg = 2.205 lb.)
  • The user will input pounds and the program will output kilograms

• Write a program to convert newtons to pounds. (Recall that 1 lb = 4.448 N.)
  • The user will input pounds and the program will output newtons

• Write a program that converts degrees Celsius to Fahrenheit (Recall that F = (C 9/5) + 32)
  • The user will input Celsius and the program will output Fahrenheit

Areas and Volumes. These problems involve computing an area or a volume using input from the user. Each program should include a prompt to the user to enter the objects needed.

• +5 Write a program to compute the area A of the surface of a sphere of radius r. (Recall that A = 4 r².)

• +5 Write a program to compute the volume V of a sphere of radius r. (Recall that V = (4/3) r³.)