Question

If radii of two cylinder are in ratio 4:3 and their heights are in ratio 5:6 .find the ratio of their curved surfaces

Answer 1

Answer:

10:9

Explanation:

Let r1=4r and r2=3r

h1=5h and h2=6h

CSA of first cylinder

CSA1= 2πr1h1

= 2πx4rx5h

= 40πrh ------------(1)

CSA of second cylinder

CSA2 = 2πr2h2

= 2πx3rx6h

= 36πrh ------------(2)

Therefore ratio of the curved surface areas

(1) 40πrh 10

----- = ––––– = –––

(2) 36πrh 9

= 10:9

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