Question

Two cylinders have same base radius r.If their heights are 5cm and 15cm.What is the ratio of their volumes?

Answer 1

volume of cylinder= volume of cylinder
πrrh=πrrh
5:15
1:3

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Answer 2

Given : Two cylinders have same base radius r.If their heights are 5cm and 15cm.

To find : The ratio of their volumes.

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the ratio of their volumes)

Now,

The volume of a cylinder = π × (radius)² × height

So,

The volume of the first cylinder = π × (r)² × 5 = 5πr² cm³

And,

The volume of the second cylinder = π × (r)² × 15 = 15πr² cm³

So, the ratio of their volumes will be :

= 5πr² : 15πr²

= 5 : 15

= 1:3

(This will be considered as the final result.)

Hence, the ratio of their volumes is 1:3