Maths Question...!!
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Given :-
A cylinder, a cone and a hemisphere are of same base and height
To Find :-
Ratio of volume
Solution :-
We know that
Volume of cylinder = πr²h
Volume of cone = 1/3πr²h
Volume of hemisphere = 2/3πr³
πr²h : 1/3πr²h : 2/3πr³
Here r = h. So, put h = r
πr² × r : 1/3πr² × r : 2/3 πr³
πr³ : 1/3πr³ : 2/3πr³
Cancel πr³
1 : 1/3 : 2/3
3 : 1 : 2
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✌✨❣ I HOPE HELP YOU ❣✨✌
• Now the ratio of the volumes of cylinder, cone and hemisphere is the ratio of V1, V2 and V3. Hence, the volume of the cylinder cone and hemisphere are in ratio 3 : 1 : 2.
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