SOLUTION: If the volume of a sphere is 500pi/3 meters cubed, what is the diameter of the sphere?
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Question 678701: If the volume of a sphere is 500pi/3 meters cubed, what is the diameter of the sphere?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
V = (4/3)*pi*r^3
500pi/3 = (4/3)*pi*r^3
500/3 = (4/3)*r^3 ... Divide both sides by pi.
500 = 4r^3 ... Multiply both sides by 3.
500/4 = r^3
125 = r^3
r^3 = 125
r = cube root of 125
r = 5
The radius is 5 meters. So the diameter is 10 meters.
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