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
Algebra ->
Volume
-> 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
Log On
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) (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?
--------------
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