soniahallk12pe8j5z soniahallk12pe8j5z
  • 21-01-2020
  • Mathematics
contestada

The volume of a cone is 37x3 cubic units and its height is x units.
Which expression represents the radius of the cone's base, in units?
3x
6x
300x2
97x

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 21-01-2020

Answer:

  6x

Step-by-step explanation:

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

  V = (π/3)r²h

Filling in the given values and solving for r, we find ...

  37x³ = (π/3)r²x

  (3·37/π)x² = r² . . . . . . . . divide by the coefficient of r²

  x√35.3324 ≈ r ≈ 5.94x

The closest answer choice is 6x.

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