   Chapter 15.7, Problem 7E

Chapter
Section
Textbook Problem

Identify the surface whose equation is given.7. r2 + z2 = 4

To determine

To identify: The surface of the equation r2+z2=4 .

Explanation

Given:

The equation r2+z2=4 .

Formula used:

The formula to find r from the rectangular coordinates (x,y,z) is r=x2+y2 .

Calculation:

From the formula mentioned above, it is obtained that x2+y2=r2 .

Therefore, the given equation becomes x2+y2+z2=22 , which is the equation of the sphere

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