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Two cylindrical jars contain the same amount of milk. If their diameters are in the ratio 3 : 4, find the ratio of their heights.

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M.L Aggarwal book Important Question of class 10 chapter Based on Mensuration for ICSE BOARD.
Given that Two cylindrical jars contain the same amount of milk. If their diameters are in the ratio 3 : 4, find the ratio of their heights.
This is the Question Number 16, Exercise 17.1 of M.L Aggarwal.

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  1. Let r1 and r2 be the radius of the two cylinders and h1 and h2 be their heights.

    Given ratio of the diameter = 3:4

    Then the ratio of radius r1:r2 = 3:4

    Given volume of both jars are same.

    r12h1 = r22h2

    h1/h2 = r22/ r12

    h1/h2 = 42/32 = 16/9

    Hence the ratio of the heights are 16:9.

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