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Omni-MATH / A cylinder of base radius 1 is cut into two equal parts along a plane passing…

Problem

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problem

A cylinder of base radius 1 is cut into two equal parts along a plane passing through the center of the cylinder and tangent to the two base circles. Suppose that each piece's surface area is mm times its volume. Find the greatest lower bound for all possible values of mm as the height of the cylinder varies.
Plain-text mathematical notation (without MathML)
A cylinder of base radius 1 is cut into two equal parts along a plane passing through the center of the cylinder and tangent to the two base circles. Suppose that each piece's surface area is m times its volume. Find the greatest lower bound for all possible values of m as the height of the cylinder varies.
Original LaTeX notation
A cylinder of base radius 1 is cut into two equal parts along a plane passing through the center of the cylinder and tangent to the two base circles. Suppose that each piece's surface area is $m$ times its volume. Find the greatest lower bound for all possible values of $m$ as the height of the cylinder varies.

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Source and history

task_id
90feca13-6a7b-5347-a1e5-cc5f802a1a0f
task_key
test--90feca13-6a7b-5347-a1e5-cc5f802a1a0f
task_revision_id
1
config / split
/ test

Official source

initial import