💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

Like

Report

ag
Numerade Educator

Like

Report

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 $

Answer

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

Discussion

You must be signed in to discuss.

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