the radii of two cylinders are in the ratio 2 is to 3 and their Heights are in the ratio 5 is to 3 calculate the ratio of their curved surface area
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Ratio of radii=r1:r2=2:3,
Ratio of height=h1:h2=5:3,
Then,
Ratio of Volumes
V1:V2=(r1^2*h1)/r2^2*h2)
=(2^2*5)/(3^2*3)
=20/27
=20:27.....................................(i)
Ratio of curved surface areas=
A1:A2
=(r1h1)/r2h2)
=2*5/3*3
=10/9
10:9............................................(ii)
Ans is 20:27 and 10:9
Option is (3)
Ratio of height=h1:h2=5:3,
Then,
Ratio of Volumes
V1:V2=(r1^2*h1)/r2^2*h2)
=(2^2*5)/(3^2*3)
=20/27
=20:27.....................................(i)
Ratio of curved surface areas=
A1:A2
=(r1h1)/r2h2)
=2*5/3*3
=10/9
10:9............................................(ii)
Ans is 20:27 and 10:9
Option is (3)
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