Question

the redii of two cylinders are in the ratio 3 : 2 and their Heights are in the ratio 4 : 5 calculate the ratio of their curved surface areas .​

Answer 1

Answer:

6 : 5

Step-by-step explanation:

let the common factor of radii be x

ratio = 3 : 2

= 3x : 2x

let the common factor of height of cylinders be y

ratio = 4 : 5

= 4y : 5y

Now,

Curved Surface area = 2πr(r + h)

ratio of C.S.A

= 2π(3x)(4y) / 2π(2x)(5y)

(cancelling 2π on both sides)

= 12xy / 10xy

(dividing both sides by 2xy we get)

= 6 / 5

6 : 5

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