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Omni-MATH / Compute the side length of the largest cube contained in the region {(x,y,z):x²+y²+z²≤25 and x≥0} of three-dimensional space.

Problem

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problem

Compute the side length of the largest cube contained in the region {(x,y,z):x2+y2+z2≤25 and x≥0}\{(x, y, z): x^{2}+y^{2}+z^{2} \leq 25 \text{ and } x \geq 0\} of three-dimensional space.
Plain-text mathematical notation (without MathML)
Compute the side length of the largest cube contained in the region {(x,y,z):x²+y²+z²≤25 and x≥0} of three-dimensional space.
Original LaTeX notation
Compute the side length of the largest cube contained in the region $\{(x, y, z): x^{2}+y^{2}+z^{2} \leq 25 \text{ and } x \geq 0\}$ of three-dimensional space.

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Source and history

task_id
f56af540-c978-54bc-91ce-34cbb014bc7c
task_key
test--f56af540-c978-54bc-91ce-34cbb014bc7c
task_revision_id
1
config / split
/ test

Official source

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