Question

the radii of a cylinder is halved and the height is increased by three times express the second cylinder volume in terms of volume of the first cylinder.assume appropriate symbols
​

Answer 1

Answer:

Let the volume of the original cylinder be: πr²h = V

If the radii is halved, height is tripled

New height = 3h

New radius = r/2

New volume = π × ($\frac{r}{2}$)²  × 3h

==> 3/4 × πr²h

==> 3/4 × V.

Hence proved.