Radii of two cylinders are in the ratio 2:3 and their heights are in the ratio
5:4. Find ratio of their curved surface areas.
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Answer :-
Let ,
the radii of the cylinders be 2x and 3x respectively.
And let their heights be 5y and 3y respectively.
CSA of 1st cylinder
=2πrh=2π×2x×5y
CSA of 2nd cylinder
=2πRH=2π×3x×3y
∴Ratio of CSA of the 2 cylinders
=2π×2x×5y÷2π×3x×3y
=10xy÷9xy
=10/9
Volume of 1st cylinder
= πr²h=π×4x²×5y
Volume of 2nd cylinder
= πR²H=π×9x²×3y
∴Ratio of the volume of the 2 cylinders
=π×4x²×5y÷π×9x²×3y
=4×5÷9×3=20÷27=20/27
Let ,
the radii of the cylinders be 2x and 3x respectively.
And let their heights be 5y and 3y respectively.
CSA of 1st cylinder
=2πrh=2π×2x×5y
CSA of 2nd cylinder
=2πRH=2π×3x×3y
∴Ratio of CSA of the 2 cylinders
=2π×2x×5y÷2π×3x×3y
=10xy÷9xy
=10/9
Volume of 1st cylinder
= πr²h=π×4x²×5y
Volume of 2nd cylinder
= πR²H=π×9x²×3y
∴Ratio of the volume of the 2 cylinders
=π×4x²×5y÷π×9x²×3y
=4×5÷9×3=20÷27=20/27
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