Question

The heights of two cylinders are in the ratio of $3:1$. If the volumes of two cylinders be same, then find the ratio of their respective radii.

• A. $1:\sqrt{3}$
• B. $2:\sqrt{3}$
• C. $\sqrt{3}:1$
• D. None of these

Answer 1

The correct option is A $1:\sqrt{3}$

$v_1=v_2\Rightarrow \pi r_1^2{h}_1=\pi r_2^2{h}_2$

$\Rightarrow \frac{r_1^2}{r_2^2}=\frac{h_2}{h_1}=\frac{1}{3}$

$\Rightarrow r_1=r_2=1:\sqrt{3}$