Question

Two cylinder of same volume have their radii in thw ratio 1:6rhen find the ratio of their height

Answer 1

Answer:

Step-by-step explanation:

vol of cylinder 1=V =pi.R^2H

vol of cylinder 2=v=pi.r^2h

according to the question v=V.

that means pi.R^2H=pi.r^2h

solving it we get R^2H=r^2h

given ratio =1:6

so

R^2/r^2=h/H

substituting value we get h:H = 1:36

ratio of height = 1:36

Answer 2

ANSWER: 1:36

explanation:

[ volume of cylinder => π r²h ]

volume of cylinder A => π R²H

volume of cylinder B => π r²h

A.T.Q; volumes of both cylinders are equal

i.e V=v

•°• π r²h = πR²H

by solving the expression we get, => R²H = r²h

•°• given ratio is : 1:6

•°• R²/r² = h/H

=> 1²/6² = h/H

=> 1/36 = h/H

•°• h = 1 & H = 36

•°• IN RATIO => 1:36

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