Question

Keeping the height same, how many times the radius of the given cylinder should be made to get the cylinder of double the volume of given cylinder?
Answer: $\sqrt{2}times$
If true then enter 1 else if False enter 0

Answer 1

Volume of a Cylinder of Radius "R" and height "h" $=\pi R^{2}h$
Let $R_1$ and h be the radius and height of the first cylinder and $R_2$ and h be the radius and height of the second cylinder.
Given, $V_2=2V_1$
$\pi {R_2}^{2}h=2\pi {R_1}^{2}h$
${R_2}^2=2{R_1}^2$
$R_2=\sqrt{2}{R}_1$
Hence, the Radius should be made $\sqrt{2}$ times.