It’s the most wonderful time of the year, so what better way to celebrate than with a little integration? Here’s a barely veiled pure maths question in festive guise!
The outer surface of a (jingle) bell is described by the revolution of the function
about the y axis where is a positive constant.
Question 1: Determine the volume of the solid bell in terms of .
The bells are packaged in a snugly fitting cylindrical box of height whose radius is the same as that of the bell’s base.
Question 2: Verify that the bell occupies exactly half the volume of the box.
This post comes with an edition to puzzle #7. Take a look before the apocalypse!