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
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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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