What Does 1<= x^2 + y^2 + z^2 <= 25 Look Like in 3-D?

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SUMMARY

The discussion centers on the mathematical representation of the inequality 1 ≤ x² + y² + z² ≤ 25 in three-dimensional space. It is established that this describes the volume between two concentric spheres with radii 1 and 5, centered at the origin. The participants clarify that while spheres are closed surfaces, they are hollow, meaning the volume is defined by the space between the surfaces of these spheres.

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karen03grae
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Problem: Describe what 1<= x^2 + y^2 + z^2 <= 25
looks like in 3-d

Guess: A sphere with a radius between 1 & 25? Don't see how that's possible though...help
 
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Nope,it's the volume (the totality of points) comprised between 2 concentric spheres of radii 1 & 5 with centers at the origin of the coordinate system...

Daniel.
 
WOW! two spheres? Okay. So its the volume between their walls?
 
EXACTLY.But spheres are closed surfaces...They don't have walls,because they're hollow...

Daniel.
 

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