Question

Two circular cylinders of equal volumes have their heights in the ratio 1:2. Find the ratio of their radii.

Answer 1

√2:1is the answer...

plzz mark it as a brainliest answer...

Answer 2

Answer:

1:√2 .

Step-by-step explanation:

Given :Two circular cylinders of equal volumes have their heights in the ratio 1:2.

To Find :Find the ratio of their radii.

Solution :

We are given that Two circular cylinders of equal volumes have their heights in the ratio 1:2.

Formula of volume of cylinder= $\pi r^2 h$

Let the radius of cylinder be $r_1$ and $r_2$

ATQ

$\frac{\pi (r_1)^2 h}{\pi (r_2)^2 h}=1$

$\frac{(r_1)^2}{2(r_2)^2 }=1$

$\frac{(r_1)^2}{(r_2)^2 }=\frac{1}{2}$

$\frac{(r_1)}{(r_2)}=\sqrt{\frac{1}{2}}$

Hence the ratio of their radii is 1:√2 .