Question

Question 10
If the radius of a cylinder is doubled and height is halved then the volume will be doubled.

Answer 1

True.

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

Then, volume of the cylinder,
$V_1=\pi r^{2}h$

New radius, R = 2r

New height of the cylinder,
$H=\frac{h}{2}$

$\therefore$ Volume of a cylinder,
$V_2=\pi R^{2}H=\pi (2r{)}^2\frac{h}{2}=2V_1$

Hence, if the radius of a cylinder is doubled and height of a cylinder is halved. The volume of the cylinder is doubled.