The volume of a sphere is 500pi/3 inches cubed. What is the diameter of the sphere?

10 inches

Hi there !

volume of a sphere formula

V = 4π·r³/3

3V = 4π·r³

r³ = 3V/4π

replace

r³ = (3·500π/3)/4π

= 500π/4π

= 125

r³ = 125

r³ = 5³

r = 5 inches

d = 2r = 2×5in = 10 inches

Good luck !

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