Volumes of two cylinders of same height are in the ratio 1:16. What is the ratio of their
radii.
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ojaswik215:
how u put v1/v2 as 1/4
sorry r1/r2
Man...volume of cylinder is pie*r2*h
i know but how u put r1/r2 as 1/4
Square root of 1/16 is 1/4
I have attached another pic....see that...
i got it thank u
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Solutions :-
Given :
Two cylinders of equal volume heights in the ratio of 1 : 16
Let the radius of one cylinder be R
Radius of other cylinder be r
Let the height of one cylinder be h
Height of other cylinder be 16h
We know that,
Volume of cylinder = πr²h cu. unit
Now,
πR²h = πr²16h
=> R² = r²16
=> R² = 16r²
=> R² = (4r)²
=> R = 4r
Hence,
The ratio of radii = 1 : 4
_______________________
✯ @shivamsinghamrajput ✯
Given :
Two cylinders of equal volume heights in the ratio of 1 : 16
Let the radius of one cylinder be R
Radius of other cylinder be r
Let the height of one cylinder be h
Height of other cylinder be 16h
We know that,
Volume of cylinder = πr²h cu. unit
Now,
πR²h = πr²16h
=> R² = r²16
=> R² = 16r²
=> R² = (4r)²
=> R = 4r
Hence,
The ratio of radii = 1 : 4
_______________________
✯ @shivamsinghamrajput ✯
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