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MATH / A sphere, lying in the octant where all the coordinates are nonnegative, is…

Problem

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problem

A sphere, lying in the octant where all the coordinates are nonnegative, is tangent to the xyxy-, xzxz-, and yzyz-plane. A point on the sphere has distances of 50, 29, and 41 from the xyxy-, xzxz-, and yzyz-planes, respectively. Enter all possible values for the radius of the sphere, separated by commas.
Plain-text mathematical notation (without MathML)
A sphere, lying in the octant where all the coordinates are nonnegative, is tangent to the xy-, xz-, and yz-plane.  A point on the sphere has distances of 50, 29, and 41 from the xy-, xz-, and yz-planes, respectively.  Enter all possible values for the radius of the sphere, separated by commas.
Original LaTeX notation
A sphere, lying in the octant where all the coordinates are nonnegative, is tangent to the $xy$-, $xz$-, and $yz$-plane.  A point on the sphere has distances of 50, 29, and 41 from the $xy$-, $xz$-, and $yz$-planes, respectively.  Enter all possible values for the radius of the sphere, separated by commas.

level

Level 5

type

Precalculus

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Source and history

task_id
f9faae11-768f-5579-8b88-2dd2daba4707
task_key
precalculus--test--f9faae11-768f-5579-8b88-2dd2daba4707
task_revision_id
1
config / split
precalculus / test

Official source

initial import