(Solved): A cylinder is inscribed in a right circular cone of height \( 7.5 \) feet and radius (at the base) ...

A cylinder is inscribed in a right circular cone of height \( 7.5 \) feet and radius (at the base) equal to \( 5.5 \) feet. What are the dimensions of such a cylinder which has maximum volume? \( \begin{array}{ll}\text { Radius }= & \text { feet } \\ \text { Height }= & \text { feet }\end{array} \)