SOLUTION: The equation for finding the volume of a sphere is {{{V=4/3 * pi * r^3}}} so I have a question; what does the 4/3 stand for? Pi is equal to about 3.14 and I know tha r=radius wh

Algebra ->  Volume -> SOLUTION: The equation for finding the volume of a sphere is {{{V=4/3 * pi * r^3}}} so I have a question; what does the 4/3 stand for? Pi is equal to about 3.14 and I know tha r=radius wh      Log On


   

Question 293979: The equation for finding the volume of a sphere is V=4%2F3+%2A+pi+%2A+r%5E3 so I have a question; what does the 4/3 stand for? Pi is equal to about 3.14 and I know tha r=radius which is half the diameter... but what about the 4/3? Is it some random number that just worked? This is the question that haunts me! Please help me!

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
That's the equation for the volume of a sphere.
The equation can be derived in various ways, but that is always the result.
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The derivative of that is 4%2Api%2Ar%5E2, which is the equation for the surface area of a sphere. I hope that doesn't keep you awake at night.
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The area of a circle is pi%2Ar%5E2, and the derivative of that is 2pi*r, the circumference. Spooky, huh?