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Question

Circular discs of 5mm thickness, are placed one above the other to form a cylinder of curved surface area 462cm2. Find the number of discs, if the radius is 3.5cm.

Solution
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Thickness of each disc =5mm=510cm=0.5cm
Radius of disc =3.5cm.
Curved surface area of cylinder =462cm2
2πrh=462 ....... (i)
Let the no of discs be x
Height of cylinder, h= Thickness of disc × no of discs=0.5x.......(ii)
From (i) and (ii) we get
2×227×3.5×0.5x=462
x=462×72×22×3.5×0.5=42 discs


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