Question

The diameters of two cylinders are in the ratio 3:2 and their volumed are equal. The rstio of their height is?

Answer 1

Solution :-

the Ratio of the diameter of the cylinder = 3:2

=> The ratio of the radius of cylinder = 3:2
therefore let the radius of the 2 cylinder be 3x and 2x

let the height of the cylinder H1 and H2

volume 1st cylinder = volume 2nd cylinder

π(3x)²H1 = π(2x)²H2

H1/H2 = (π×4x²)/(π×9x²)

H1/H2 = 4/9

H1 : H2 = 4 :9

radio of there Height 4:9


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@GauravSaxena01

Answer 2

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@Garu1678