if the radius of two cylinder are in ratio 2:3 and there hight are in ratio 5:3 then what is the ratio of there volume
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2:3:5:3.
I hope this is the answer.
I hope this is the answer.
sana68:
no
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hello users ...
solution:-
we know that:
volume of cylinder = πr²h
Here,
according to given :
let Radius of first cylinder = 2r
And
Radius of second cylinder = 3r
Also,
let the height of first cylinder = 5h
And
height of second cylinder = 3h
Now,
volume of first cylinder = πr²h
= π (2r)² 5h
= π×(4r² )× 5h
= 20 × πr²h
And
the volume of second cylinder = πr²h
= π (3r)² 3h
= π×(9r²)×3h
= 27 × πr²h
Now,
The ratio between their volumes = volume of first cylinder / volume of second cylinder
= 20 πr²h / 27 πr²h
= 20 / 27 = 20 : 27 Answer
# hope it helps # :)
solution:-
we know that:
volume of cylinder = πr²h
Here,
according to given :
let Radius of first cylinder = 2r
And
Radius of second cylinder = 3r
Also,
let the height of first cylinder = 5h
And
height of second cylinder = 3h
Now,
volume of first cylinder = πr²h
= π (2r)² 5h
= π×(4r² )× 5h
= 20 × πr²h
And
the volume of second cylinder = πr²h
= π (3r)² 3h
= π×(9r²)×3h
= 27 × πr²h
Now,
The ratio between their volumes = volume of first cylinder / volume of second cylinder
= 20 πr²h / 27 πr²h
= 20 / 27 = 20 : 27 Answer
# hope it helps # :)
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