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

The radius of the base of a right circular cylinder is halved and the height is doubled. What is the ratio of the volume of the new cylinder to that of the original cylinder?

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 the radius of the base of a right circular cylinder be r and height be h.

Volume of the cylinder, V1 = π r2h

The radius of the base of a right circular cylinder is halved and the height is doubled.

So radius of new cylinder = r/2

Height of new cylinder = 2h

Volume of the new cylinder, V2 = π r2h

= π (r/2)2 ×2h

= ½ π r2h

So ratio of volume of new cylinder to the original cylinder , V2/V1= ½π r2h/π r2h = ½

Hence the required ratio is 1:2.

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