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Numerade Educator



Problem 34 Easy Difficulty

Describe in words the region of $ \mathbb{R}^3 $ represented by the equation(s) or inequality.

$ x^2 + y^2 + z^2 \le 4 $


This region contains all points on and inside a sphere
The radius of the sphere is 2 and centre is at origin


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Video Transcript

right. So what is this region where we can see that this is a spear, and the radius is for? And this inequality means that since it's less than or equal to, So that means it could be on the surface of the sphere or inside the sphere. Okay, so everything on an inside the surface of a sphere. And I'm sorry, this is with the radius to