Question

answer me properly this question
Two cylinders have equal volumes if their radii are in the ratio √2: 1 then find the ratio of their heights​

Answer 1

Step-by-step explanation:

As you wanted, your detailed soln. is here-

$v = \pi \: r {}^{2} h$

So by taking ratio, see that h¹:h² =1:2.

Also note that r² and h are inversely proportional. Hence the answer.

Hope to satisfy you!!

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Answer 2

Let the height be h and 2h and redii be r and R
∴πr
2
h=πR
2
2h
⇒r
2
h=R
2
2h
⇒
R
2

r
2

​
=
h
2h
​

⇒
R
2

r
2

​
=
1
2
​

⇒
R
r
​
=
1
2
​

​

⇒r:R=
2
​
:1


Hope it helps you..!!!