SOLUTION: The surface area of a sphere is 64 pi m^2. Find the volume of the sphere in terms of pi.

Algebra ->  Volume -> SOLUTION: The surface area of a sphere is 64 pi m^2. Find the volume of the sphere in terms of pi.       Log On


   

Question 970379: The surface area of a sphere is 64 pi m^2. Find the volume of the sphere in terms of pi.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Surface Area:

SA = 4*pi*r^2

64*pi = 4*pi*r^2

16 = r^2 ... divide both sides by 4pi

r^2 = 16

r = 4 ... take the square root of both sides. r > 0

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Volume:

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

V = (4/3)*pi*4^3

V = (4/3)*pi*64

V = (4/3)*64*pi

V = 256pi/3

So the exact volume, in terms of pi, is 256pi/3 cubic meters