Question

The radius of a cylinder is tripled and the height remains the same. The ratio between the volumes of the new cylinder and the original cylinder is-

Answer 1

Answer:

Ratio = 1:9

Step-by-step explanation:

Let the radius and height of original cylinder be 'r' and "h" respectively

So, volume of cylinder = π$r^{2} h$

Now, Let the radius and height of new cylinder be 'R' and "H" respectively

Given,

R = 3r and H = h

Volume of new cylinder = π$R^{2} H$

                                        = π $(3r)^{2} h$

                                        = π$9r^{2} h$

Ratio = Volume of new cylinder / Volume of original cylinder

         = $\frac{\pi r^{2}h}{\pi 9r^{2} h}$

         Canceling h , $r^{2}$ and π, we get

         = $\frac{1}{9}$

Ratio = 1:9

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