Question

A right circular cylinder is inscribed in a cone with height h and base radius r. Find the largest possible volume of such a cylinder.
Help!

Answer 1

Is my interpretation of the question.

Answer 2

I think radius r and height h belong to the cone.

Answer 3

ooh yeah you're right.

Answer 4

\(\large\color{black}{ \displaystyle {\rm V}_{\rm cone}=\frac{ \pi }{3}\cdot h\cdot r^2 }\)

Answer 5

Let me think...

Answer 6

Wait I have an idea. lemme see.

Answer 7

ok, go ahead ...

Answer 8

gives us similar triangles.