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

Answer:

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

Step-by-step 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

$V_{2}=\pi r^{2}\times 2h...........(ii)$

Comparing i and ii we get

$V_{2}=2V_{1}$