Question

The volume of a cone is 37x3 cubic units and its height is x units.

Which expression represents the radius of the cone's base, in units?
3x
6x
300x2
97x

Answer 1

6x

Explanation:

The formula for the volume of a cone is ...

V = (π/3)r²h

Filling in the given values and solving for r, we find ...

37x³ = (π/3)r²x

(3·37/π)x² = r² . . . . . . . . divide by the coefficient of r²

x√35.3324 ≈ r ≈ 5.94x

The closest answer choice is 6x.