Determine the dimensions of the right circular cylinder of greatest volume that can be inscribed upright in a right circular cone of radius 4cm and height of 8cm.
Cylinders
A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.
Cones
A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.
Determine the dimensions of the right circular cylinder of greatest volume that can be inscribed upright in a right circular cone of radius 4cm and height of 8cm.
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