Question

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

Answer 1

Answer: 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

Answer 2

Cone Volume = (PI * radius^2 * height) / 3
3 = (PI * radius^2* x) / 3
radius^2 = 9 / (PI * x)
radius = square root (9 / (PI * x))