Question

Curved surface area of a cylinder is 1000cm2 a wire of diameter 5mm is wrapped all around it which covers it's curved surface completely find the length of the wire

Answer 1

Answer:

Step-by-step explanation:

Let the no. of turns the wire makes on the cylinder be n

∴ the height of the cylinder = diameter of the wire x n = 5 x n mm = 0.005 m

Let the length of wire needed be L m

But the wire makes n turns over the cylinder,

so L = 2πr x n

⇒ L/n = 2πr.

Curved surface area of the cylinder =

2πrh

2πrh = 1000 cm² = 0.1 m²

0.005n x L/n = 0.1

⇒ L = 0.1/0.005 = 100/5 = 20 m = 20*100cm = 2000cm.

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