Question

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? 3x 6x 3πx2 9πx2

Answer 1

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

Answer 2

The answer is for this question is 3x