Question

if two cylinders of equal volumes have their height in the ratio 2:3 then the ratio of their radius?​

Answer 1

Step-by-step explanation:

$\sqrt{3 \sqrt{2} }$

Answer 2

Step-by-step explanation:

Two cylinders of equal volumes have their heights in the ratio 2 : 3. The ratio of their radii is

A) 1 : 3

B) 3–√:2

C) 3 : 2–√

Correct Answer:

D) 3–√:2–√

Description for Correct answer:

Let height of first cylinder be 2h. Then the height of second cylinder is 3h. Let the radius of first and second cylinder be r1 and r2 respectively.

Volume of the first cylinder = πr21.(2h)

Volume of second cylinder = πr22.(3h)

πr21.(2h) = πr22.(3h)

2r21=3r22

r21r22=32

r1r2=3–√2–√

r1:r2=3–√:2–√