Cylinder In A Sphere

Calculus Level 4

If the maximum volume of a right circular cylinder inscribed in a sphere of unit volume can be written as $\dfrac a{\sqrt b},$ where $a$ and $b$ are positive integers with $b$ square-free, find $a + b$ .

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Cylinder In A Sphere

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 7 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.