SOLUTION: There is a cylinder with a volume of 150cm cubed. There is a cone with the same base and twice the height, what is the volume of the cone? :)

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Question 942080: There is a cylinder with a volume of 150cm cubed. There is a cone with the same base and twice the height, what is the volume of the cone? :)
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
If the area of the base is B and the height is h ,
the volumes of a cylinder is B%2Ah .
For your cylinder B%2Ah=450cm%5E3
If the area of its base is B and its height is 2h ,
the volumes of the cone is %281%2F3%29%2AB%2A%282h%29=%282%2F3%29%2A%28B%2Ah%29=%282%2F3%29%2A450cm%5E3=300cm%5E3 .