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The surface area of this sphere is 20,096 square centimeters. What's the volume of this sphere please help me

Sagot :

Answer:

Step-by-step explanation:

The trick is to find the radius. The surface area does that.

A =4* pi * r^2

20096 = 4 * 3.14 * r^2

20096 / 4 = 3.14 * r^2

5024 = 3.14 * r^2

5024 / 3.14 = r^2

r^2 = 1600

√r^2 = √1600

r = 40

Now all you do is use r to find the Volume

V = (4/3) * 3.14 r^3

V = (4/3) * 3.14 * 40^3

V = 1.333 * 3.14 * 64000

V =  26796.67