Question

In a cylinder, if radius is halved and height is doubled, the volume will be​

Answer 1

Let, the radius and height of the cylinder be r and h respectively.

$\therefore \text{Volume of the original cylinder}=\pi r^{2}h$
According to the question,
$\text{New radius}=\frac{r}{2}$ and new height = 2h

$\therefore \text{Volume of the new cylinder}=\pi {\left(\frac{r}{2}\right)}^2\left(2h\right)$
$=\frac{\pi r^{2}h}{2}$
$\Rightarrow$ The volume will be halved of the original volume.

Hence, option (C) is the correct answer.