Question

If radius of a cylinder is doubled and height is halved then show that the volume will be doubled.
PLEASE HELP XAM TIME

Answer 1

this will help you.....

Answer 2

The volume of new cylinder = 2(the volume of cylinder), proved.

Step-by-step explanation:

Let radius of cylinder = r and the height of cylinder = h

Show that, the volume of new cylinder will be doubled.

∴ The volume of cylinder $=\pi r^{2}h$     ..... (1)

The radius of new cylinder = 2r and the height of cylinder = $\dfrac{h}{2}$

$=\pi (2r)^{2}\dfrac{h}{2}$

$=\pi\times 4r^{2}\times\dfrac{h}{2}$

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

Using (1), we get

=2(The volume of cylinder), proved.

Hence, the volume of new cylinder = 2(the volume of cylinder)