Question

How many times larger is the new volume of a cylinder if only the height doubled, and the radius remained the same?

Answer 1

The new volume becomes twice as large as the initial volume.

Explanation:

We know that volume of cylinder is given by

`V=\pi r^(2)h`

Let the initial radius of the cylinder be 'r' and the initial height of the cylinder be 'h'

Thus the initial volume of the cylinder is given by

`V_(1)=\pi r^(2)h............(i)`

Since now the height is doubled and the radius remains the same the new volume of the cylinder becomes

`V_(2)=\pi r^(2)* 2h...........(ii)`

Comparing i and ii we get

`V_(2)=2V_(1)`