   Chapter 10.6, Problem 39E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

Find the surface area and volume of the sphere x 2 + y 2 + z 2 = 100

To determine

To find:

The surface area and volume of the sphere x2+y2+z2=100

Explanation

The equation of the sphere with center 0, 0, 0 and radius length r is given by

x2+y2+z2=r2

Writing the given equation in the form of the general equation.

x2+y2+z2=102

From this, r=10

Surface area of the sphere is given by 4πr2.

Substituting r=10 in the formula of surface area.

Surface area of sphere =4π102

Multiplying,

Surface area of sphere =4π100

Surface area of sphere =400π square units

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