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MATH / Let S be the set of all points (x,y,z) such that x²+y²+z²≤25 and z≥0. Compute the side length of the largest cube contained in S.

Problem

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problem

Let SS be the set of all points (x,y,z)(x,y,z) such that x2+y2+z2≤25x^2 + y^2 + z^2 \le 25 and z≥0.z \ge 0. Compute the side length of the largest cube contained in S.S.
Plain-text mathematical notation (without MathML)
Let S be the set of all points (x,y,z) such that x²+y²+z²≤25 and z≥0.  Compute the side length of the largest cube contained in S.
Original LaTeX notation
Let $S$ be the set of all points $(x,y,z)$ such that $x^2 + y^2 + z^2 \le 25$ and $z \ge 0.$  Compute the side length of the largest cube contained in $S.$

level

Level 5

type

Precalculus

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Source and history

task_id
a8f9918c-fe2f-51ab-a346-a8b4509f622f
task_key
precalculus--test--a8f9918c-fe2f-51ab-a346-a8b4509f622f
task_revision_id
1
config / split
precalculus / test

Official source

initial import