Question

the radii of two right circular cylinder are in ratio 2 is to 3 and their height are in ratio 5 is to 4 calculate the ratio of their curved surface area

Answer 1

Ratio of radii = 2x
Height of radii= 5x
curved surface area of cylinder= pi r^2 h
= pi×2x^2×5x
= 20 pir^2 h
Ratio of radii= 3x
Ratio of height= 4x
C.S.A of cylinder= pi r^2 h
= pi× 3x^2× 4x
= 36 pi r^2 h
Now,
Ratio of C.S.A= 20 Pi r^2 h/36 pi r^2 h
= 5: 9

Answer 2

Let the radii=2x and 3x
And heights=5y and 4y

For 1 cylinder
CSA=2×22/7×2x×5y
For 2 cylinder
CSA=2×22/7×3x×4y
Ratio=1CSA/2CSA
=10/12
=5:6
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