Question

3) A cone a hemisphere
a cylinder stand on equal bases and have the same height find the ratio of their volume ​

Answer 1

$\huge{\mathfrak{\purple{Question}}}$

3) A cone a hemisphere

a cylinder stand on equal bases and have the same height find the ratio of their volume .

$\huge{\mathfrak{\purple{Answer}}}$

Volume of cone = (1/3)πr²h

Volume of hemisphere = (2/3)πr³

Volume of cylinder = πr²h

Given:

cone, hemisphere and cylinder have equal base and same height

So,

r = h

Volume of cone : Volume of hemisphere : Volume of cylinder

= (1/3)πr²h : (2/3)πr³ : πr²h

= (1/3)πr³ : (2/3)πr³ : πr³

= (1/3) : (2/3) : 1

= 1: 2: 3

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