2 cylinder are same volume have radius in ratio 1:9 is the ratio of height
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2 cylinder are same volume have radius in ratio 1:9 is the ratio of height
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Step-by-step explanation:
We have given that, the ratio of the radii of two cylinder of equat height = 1:3
Find out their ratio of their curved surface area= ?
Let assume that, radii of first cylinder be = r1
Height of the cylinder = h1
Curved area surface of first cylinder A1= 2πr1h1—-(1)
Let assume that, radii of first cylinder be = r2
Height of the cylinder = h2
Curved area surface of first cylinder A2= 2πr2h2—-(2)
Now, A1/A2 = (2πr1h1)/(2πr2h2)
A1/A2= (r1/r2) × (h1/h2). (h1=h2)
A1/A2=(1/3) answer.
So their areas will be remained in same ratio of radii.