A right circular cone has height 12 cm and base radius 6 cm
MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation
Problem
A right circular cone has height 12 cm and base radius 6 cm. A cylinder is to be inscribed in the cone so that its base lies on the cone’s base and its top lies on the lateral surface. What height h of the cylinder maximizes the cylinder’s volume?
(a) 8 cm
(b) 4 cm
(c) 6 cm
(d) 3 cm