Question

Two circular cylinders of equal volume have their heights in the ratio 1 : 2. The ratio of their radii is

(a) 1 : $\sqrt{2}$ (b) $\sqrt{2}:1$ (c) 1 : 2 (d) 1 : 4

Answer 1

Let their height be h and 2h
and redii be r and R respectively. Then

$\pi r^2\left(h\right)=\pi R^2\left(2h\right)$

$\frac{r^2}{R^2}=\frac{2h}{h}=2/1$

$\frac{r}{R}=\frac{\sqrt{2}}{1}$


$\to \sqrt{2}:1$

(b)$\sqrt{2}:1$