ML Aggarwal Solutions Class 10 Mathematics Solutions for Mensuration Exercise 17.1 in Chapter 17 - Mensuration

Question 21 Mensuration Exercise 17.1

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

Solution:

The density of a cylinder is determined by its volume, which represents how much material may be immersed in it or carried inside of it.

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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