A cone,a hemisphere and a cylinder stand on equal bases and have the same height. Find ratio of their volumes.
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Answer:
1 : 2: 3
Step-by-step explanation:
As their base are same,
Let us say the radius of the base and height is r,
The Volume of Cone: Volume of hemisphere: Volume of cylinder
=> πr²h/3 : 2/3πr³ : πr²h
=> 1/3 x π x r² x r : 2/3 x π x r³ : π x r² x r
=> 1/3 πr³ : 2/3 πr³ : πr³
=> 1/3: 2/3: 1
=> 1 : 2: 3
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