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denis23 [38]
3 years ago
14

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

Mathematics
1 answer:
barxatty [35]3 years ago
5 0
  • Answer:

<em>10 inches</em>

  • Step-by-step explanation:

<em>Hi there ! </em>

<em><u>volume of a sphere formula</u></em>

<em>V = 4π·r³/3</em>

<em>3V = 4π·r³</em>

<em>r³ = 3V/4π</em>

<em>replace</em>

<em>r³ = (3·500π/3)/4π</em>

<em>= 500π/4π</em>

<em>= 125</em>

<em>r³ = 125</em>

<em>r³ = 5³</em>

<em>r = 5 inches</em>

<em>d = 2r = 2×5in = 10 inches</em>

<em>Good luck !</em>

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