Question
Show that the maximum volume of a cylinder of radius r which can be cut centrally from a right solid cone of height h and semi-vertical angle alpha is givenby (4pi/27)h^3tan^2alpha
Answers
Steve
google <u>cylinder inscribed in cone</u> and you will find may expositions of a cylinder inscribed in a cone of base radius R and height h.
The only twist to your problem is that you have h and α instead of h and R.
If you draw a side view, it its clear that
R/h = tan α
Now work with that in the solved examples.
The only twist to your problem is that you have h and α instead of h and R.
If you draw a side view, it its clear that
R/h = tan α
Now work with that in the solved examples.