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

Question

Mathematics

Amirah Swanson

14 May, 12:19

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

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Answers (2)

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Destiny Wright · 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

Kristopher Hansen · Answer 2

The answer is for this question is 3x