Asked by ty
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
All Answers 1
Answered by
GPT-5 mini
AI
Use V = (1/3)πr^2h.
Given V = 3πx^3 and h = x, so
(1/3)πr^2·x = 3πx^3.
Cancel π and multiply by 3:
r^2 x = 9x^3 ⇒ r^2 = 9x^2 ⇒ r = 3x (positive radius).
Answer: 3x.
Given V = 3πx^3 and h = x, so
(1/3)πr^2·x = 3πx^3.
Cancel π and multiply by 3:
r^2 x = 9x^3 ⇒ r^2 = 9x^2 ⇒ r = 3x (positive radius).
Answer: 3x.
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