Question

A cone, a hemisphere and a cylinder stand on equal bases and have the same height. Then the ratio of their volumes is

Answer 1

Answer:

hi bro.. Hope you are fine . Here is the answer

Step-by-step explanation:

now,  as per the question the cone , hemisphere and cylinder have equal base and height.

therefore radius of cone= r of hemisphere=r of cylinder.

also h of cone= h of cylinder = r of hemisphere.

now vol of cone= 1/3πr²h

vol of hemisphere= 2/3πr³

vol of cylinder= πr²h

now

vol of cone: vol of hemisphere : vol of cylinder

1/3πr²h : 2/3πr³ : πr²h

1/3πr³ : 2/3πr³ : πr³    [ r=h]

1/3 : 2/3 : 1      [ πr³ is cancelled]

1 : 2 : 3

therefore the ratio of their volumes is 1 : 2 : 3

hope you understand

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