battlemarshmell
battlemarshmell battlemarshmell
  • 30-01-2019
  • Mathematics
contestada

A sphere has a volume of 36π in3. What is the radius of the sphere? A) 3 in B) 4 in C) 6 in D) 12 in

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sqdancefan
sqdancefan sqdancefan
  • 30-01-2019

Answer:

  A)  3 in

Step-by-step explanation:

The formula for the volume of a sphere is ...

  V = (4/3)πr³

Put in the given information and solve for r.

  36π in³ = (4/3)πr³

  27 in³ = r³ = (3 in)³ . . . . . multiply the equation by 3/(4π)

  r = 3 in . . . . . . . . . . . . . . . take the cube root

The radius of the sphere is 3 inches.

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