Question

the ratio of heights of two cylinders of equal volumes is 1:3 then the ratio of their radii will be​

Answer 1

Step-by-step explanation:

let the radius of first cylinder of height h1 be r1

let the radius of the second cylinder of height h2 be r2

According to the question,

$\pi {r1}^{2} h1$= $\pi {r2}^{2} h2$

=> $\pi {</u><u>r1</u><u>}^{2} h1$ =1

[tex]\pi {r2}^{2} h2[/tex]

=> $\pi {</u><u>r1</u><u>}^{2}</u> X <u>h1$ =1

$\pi {r2}^{2} h2$

=> {r1}^{2} X 1 = 1

{r2}^{2}. 3

=> {r1}^{2}. = 3

{r2}^{2}

=>. r1 =√3

r2