A right circular cylinder is inscribed in a cone with height H and base radius R. Find the largest volume of such a cylinder (you should assume they are rotated about the same axis).
If you could please solve in a step by step manner and explain each step, I would greatly appreciate it. Thank you.
let the cone be formed by an isosceles triangle with vertex angle on the y-axis and base on the x-axis.
slant of cone in quad I is the line
radius of the cylinder
height of the cylinder
remember H and R are constants, I'll leave you to finish it ...