SOLUTION: The radius of a cone is increased by a factor of 4. The height remains the same. If the volume of the original cone is 100 cm3, what would be the volume of the larger cone? Reme

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Question 1066421: The radius of a cone is increased by a factor of 4. The height remains the same. If the volume of the original cone is 100 cm3,
what would be the volume of the larger cone? Remember volume of a cone in given by: V = 1/3πr2h

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The radius of a cone is increased by a factor of 4. The height remains the same. If the volume of the original cone is 100 cm3,
what would be the volume of the larger cone?
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Vol is a function of the square of the radius.
Vol = k*r^2 where k is the rest of the formula and is constant.
----
(2r)^2 = 4r^2
--> 4 times the volume.
(3r)^2 = 9r^2
--> 9 times the volume.
etc