Q13 of 37 Page 195

Volume of a cylinder is in joint variation with square of the length of radius of base and its height, Ratio of radii of bases of two cylinders is 2 : 3 and ratio of their heights is 5 : 4, let us find the ratio of their volumes.

Given:

Acc. To given condition:


Volume of cylinder ∝ (radius)2(height)


V ∝ (r)2(h)


Radius of two cylinders = r1 : r2 = 2 : 3


Heights of two cylinders = h1 : h2 = 5 : 4


Volume of two cylinders = v1 : v2






Then, the ratio of their volumes = 5 : 9.


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