Optimization Problem

Calculus Level 4

Let the maximum volume of a right circular cylinder that can be inscribed in a right circular cone of unit volume be \( \dfrac ab\), where \(a\) and \(b\) are coprime positive integers. Find \(a+b\).

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Optimization Problem

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations.

Used and loved by over 6 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.