A cylinder is inscribed in a cone as shown in the diagram below. The cone has a height of 8cm and a fixed radius of R cm. The cylinder has a radius of x cm and a height of h cm. Show that the volume of the cylinder is maximised when x=kR, where k is a constant to be determined.

Answer 1

google is your friend. You might want to start here:

https://answers.yahoo.com/question/index?qid=20080427160136AACsLX6