Question

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

(a) the same (b) doubled (c) halved (d) four times

Answer 1

The volume of the cylinder is $\pi r^{2}h$
hear the question is radius is halved it means
radius =$\frac{r}{2}$
height is doubled it means
height = 2h
volume of cylinder =$\frac{22}{7}$ x$\frac{r}{2}$x$\frac{r}{2}$ x 2h
then the volume of the cylinder will be $\frac{1}{2}$ $\pi r^{2}h$

So the volume of the cylinder is halved.

(c) halved