The volume of a cone is 3πx3 cubic units and its height is x units. which expression represents the radius of the cone’s base, in units?

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.

So THE CORRECT Answer is: A) r = 3x

Step-by-step explanation: I just paid for this answer

It is given that the volume of a cone = cubic units

Volume of cone with radius 'r' and height 'h' =

Equating the given volumes, we get

=

It is given that the height is 'x' units.

Therefore,

Therefore, r = 3x

So, the expression '3x' represents the radius of the cone's base in units.

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step-by-step explanation:

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