# Calc III, Inequalitites problem!

Hello everyone, i'm having some troubles figuring this out. I'm supppose to Describe the set of points whose coordinates satisfy the given equations and inequalitites. Sketch the graph.

x^2 + y^2 + z^2 ≤ 16, 2 ≤ y ≤ 4;

I forgot the rules of inequalitites, I see its an equation of a sphere and the plane is going to be parallel to the xz-plane but i'm lost after that. Any help would be great! thanks!

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What is the question?
If you are supposed to find the volume:
If you are supposed to find the curved surface area,it is:16pi
If you are supposed to find the total surface area,it is 28pi

balakasldkfaje, your answers are all irrelevant. Coffee, it wants you to describe the surface of intersection. The first equation is a ball (almost literally), and the second is a block. If you have some graphing software its easy to see but I can understand why your having difficulty imagining these.

They intersect and make a funny lookin shape, kinda like if you hsaved the head off of a tennis ball.

Fermat
Homework Helper
The 1st inequality is a solid sphere. The 2nd inequality limits the values of y-coordintes.

In fact, it's only the top quarter of the tennis ball that is left.From y = 2 to y = 4.