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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# 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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Let r_{1}and r_{2}be the radius of the two cylinders and h_{1}and h_{2}be their heights.Given ratio of the diameter = 3:4Then the ratio of radius r_{1}:r_{2}= 3:4Given volume of both jars are same.r_{1}^{2}h_{1}= r_{2}^{2}h_{2}h_{1}/h_{2}= r_{2}^{2}/ r_{1}^{2}h_{1}/h_{2}= 4^{2}/3^{2}= 16/9Hence the ratio of the heights are 16:9.