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Chapter 9: Q. 74 (page 622)

In Problems 71鈥�76, find the radius and center of each sphere.

x2+y2+z2-4x=0

Short Answer

Expert verified

Radius is2and center is(2,0,0)

Step by step solution

01

Step 1. Given information

An expression is given as

x2+y2+z2-4x=0

02

Step 2. Radius and center

Convert the given equation in the form as

r2=x-x02+y-y02+z-z02

Where ris radius and center is P0=x0,y0,z0

Now,

x2+y2+z2-4x=0x2-4x+y2+z2=0x2-4x+4+y2+z2=0+4(x-2)2+y2+z2=4

Therefore the center is(2,0,0)and radius is2

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