Thread: Volume problem

Hi all, I am having a little difficulty with this problem:

Show that the circular cylinder of greatest volume that can be inscribed in a right circular cone has volume that is 4/9 the volume of the cone.

Thanks in advance

Originally Posted by Wintaker99

Hi all, I am having a little difficulty with this problem:

Show that the circular cylinder of greatest volume that can be inscribed in a right circular cone has volume that is 4/9 the volume of the cone.

Thanks in advance

Hello,

I'll send you 2 posts: the first containing a sketch of the cylinder in a cone and the second containing the calculations. You need both to understand what I've done:

Hi,

it's me again: Here are the calculations: