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A-49 rounds. Let the required number of rounds be x More radius, less rounds(Indirect proportion) Hence we can write as radius14:20}::x:70 ⇒14×70=20x⇒14×7=2x⇒x=7×7=49
Answer

For 1st cylinder, area= 2*3.14*70*14

for 2nd cylinder, area= 2*3.14*20*n

or, n= 2*3.14*70*14/2*3.14*20= 7*14/2= 49 revolutions.

Answer

Let it make n number of rounds.  Since the lenght of the rope will be same in both cases, we can write the equation,

70*2π*14= n* 2π*20  ⟹ n = 7*14/2 = 49 rounds oprion A 

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