the ratio of the base radiiof two right circular cylinder 1:2 and ratio of the corresponding height is 2:1 find the ratio of their volume
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Heya!
Since the radii are in the ratio 2:3 they can be taken as 2r and 3r units respectively.
Since it is given that both cylinders have same height, let it be h units
Volume of a cylinder is πr^2 h
Ratio of volumes = π (2x)^2h/π (3x)^2 h
= π 4x^2 h/π 9h^2 h = 4:9
So ratio of volumes 4:9
Conclusion: Ratio of volumes of cylinders is as the ratio of square of the radii if the height remains the same.
hope u mark it as brainlist!!
Since the radii are in the ratio 2:3 they can be taken as 2r and 3r units respectively.
Since it is given that both cylinders have same height, let it be h units
Volume of a cylinder is πr^2 h
Ratio of volumes = π (2x)^2h/π (3x)^2 h
= π 4x^2 h/π 9h^2 h = 4:9
So ratio of volumes 4:9
Conclusion: Ratio of volumes of cylinders is as the ratio of square of the radii if the height remains the same.
hope u mark it as brainlist!!
astha2326:
hi aastha ❤
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therefore required ratio will be 1:1
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