Question

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

• A. \sqrr{2}:1
• B. 2 : 1
• C. 1 : 2
• D. 1 : 4

Answer 1

Answer:

\sqrr{2}:1

Let radius are r1 and r2 respectively, then $\pi{r^2_1}h_1=\pi{r^2_2}h_2$

According to the question,

$h_1:h_2=1:2$

$r_1:r_2=\sqrt{h_2:h_1}=\sqrt{2:1}$

$=\sqrt{2}:1$