Question

in a cyclinder if radius is halved and height is doubled the volume will be what ?

Answer 1

Let the radius and Height of original cylinder be r and h

Original Volume = pi *r^2 h

Radius and Height of new cylinder = r/2 and 2h

New Volume = pi (r/2)^2 * (2h)
= pi *r^2 *h / 2
= pi r^2 h /2

New Volume = (1/2) Original Volume

Answer 2

Hola Friend ✋✋✋

Volume of cylinder = πr²h

When radius is halved new radius is = r/2

when hieght is doubled, new hieght is = 2h

so new volume =
$\pi { (\frac{r}{2}) }^{2} \times 2h \\ \\ = \frac{\pi \times r^{2}h}{2}$
So volume will be halved