Question

the radii of two right circular cylinders are in the ratio 2:3 and their heights are in the ratio 4:5. calculate the ratio of their curved surface area

please tell the answer

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Answer 1

Answer: 8:15

Step-by-step explanation:

let the ratio factor be x for radii then,

r=2x

R=3x

and let the ratio factor be y for heights then,

h=4y

H=5y

Curved surface area of a cylinder=2πrh

∴2πrh=2π(2x)(4y)------1

 2πRH=2π(3x)(5y)-------2

1 divided by 2

2π(2x)(4y)   =   8xy

2π(3x)(5y)       15xy

                  = $\frac{8}{15}$

∴the ratio of their curved surface areas is 8:15

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Answer 2

Here is the required answer.