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Chapter 10: Q 39 (page 789)

Find the center and radius of the sphere with the given equation:

x2+y2+z2+3y-5z+3=0

Short Answer

Expert verified

The center is0,-32,52and radius is222

Step by step solution

01

Given information

A sphere with the equationx2+y2+z2+3y-5z+3=0

02

Finding the center and radius

Converting the equation to whole square terms in x, y and z:

x2+y2+z2+2脳32y-2脳52脳z+322-322+522-522+3=0

Segregating the terms:

x2+y+322+z-522=2222

Comparing with equation of a sphere, the center is0,-32,52and radius is222.

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