The curved surface area of a cylinder is 1000 sq cm A wire of diameter 5 mm is wound around it so as...........

Quantitative Aptitude ( CCS) Mensuration 3D

The curved surface area of a cylinder is 1000 sq cm. A wire of diameter 5 mm is wound around it, so as to cover it completely. What is the length of the wire used ?

22 m

20 m

18 m

None of these

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Explanation:

Given that, diameter of wire = 5 mm = 0.5 cm
And, curved surface area = 1000 cm
2πrh = 1000 ...(i)
Length of wire used in a round = circumference of base of cylinder = 2πr
and, number of rounds = height of cylinder /diameter of wire = h/0.5
∴ Required length of wire = 2πr × h/0.5
= 2πrh /h = 1000/0.5 [From eq (i)]
= 2000 cm = 20 m