SOLUTION: I keep getting different answers so I thought I would ask this again. Find the volume of a cone, in terms of pi, with a radius of 3 inches and a height of 6 inches. If the radi

Algebra ->  Human-and-algebraic-language -> SOLUTION: I keep getting different answers so I thought I would ask this again. Find the volume of a cone, in terms of pi, with a radius of 3 inches and a height of 6 inches. If the radi      Log On


   

Question 625738: I keep getting different answers so I thought I would ask this again.
Find the volume of a cone, in terms of pi, with a radius of 3 inches and a height of 6 inches. If the radius of the cone is doubled while the height remains constant, what is the volume of the cone? What happens to the volume of a cone if it’s radius is doubled?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The volume of a cone as a function of its radius and height is given by:



So if you double the radius, then the radius of the new, larger cone is , so



A little algebra music, Sammy:



Divide the volume of the large cone by the volume of the smaller one:



John

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