Question

the radii of two cylinders are in the ratio 2 ratio 3 and their heights are in the ratio 5 ratio 3 calculate the ratio of their curved surface area​

Answer 1

Answer:

Step-by-step explanation:

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

Answer 2

Answer:

Step-by-step explanation:

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

I hope it will help you.