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W0lf93
The volume given is 3Pi(x^3) and the radius is x. The formula for the volume of a cone is V= [1/3]Pi(r^2)*height => [1/3]Pi (r^2) x = 3Pi(x^3) => (r^2)x = 3*3(x^3) => (r^2)x = 9(x^3) => (r^2) = 9x^2 => r = sqrt[9x^2] = 3x. Answer: r = 3x

The expression that represents the radius of a cone with volume of 3πx³ cubic inches is 3x.

Volume of a cone

volume of cone = 1 / 3 πr²h

where

  • h = height of the cone
  • r = radius of the base

Therefore,

volume of the cone = 3πx³

Therefore,

3πx³  =  1 / 3 πr²x

multiply both sides by 3

9πx³  = πr²x

divide both sides by πx

r² = 9πx³ / πx

r² = 9x²

r = √9x²

r = 3x

Therefore, the radius is 3x.

learn more on cone here: https://brainly.com/question/19068626

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