Multiple choice

The curved surface of a cylinder is 1000 cm2 .A wire of diameters 5 mm. is wound around it ,so as to cover it completely .What is the length of the wire used? एक बेलन का वक्रपृष्ठ 1000 सेमी2 है। एक 5 मिमी. व्यास वाले तार को इसके चारों ओर लपेटा जाता है। जिसमें यह इसकी पूरी तरीके से ढ़क ले। प्रयोग हुये तार की लम्बाई क्या है?

  1. 22 m.

  2. 20 m.

  3. 18 m.

  4. 34 m.

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Cylinder curved surface area = 2πrh = 1000 cm². Wire diameter = 5mm = 0.5cm, so circumference of each turn = πd = 0.5π cm. Length of wire = CSA / wire diameter = 1000 / 0.5 = 2000 cm = 20m. The wire winds around the cylinder with its diameter as the effective spacing. Option A (22m), C (18m), and D (34m) are incorrect calculations.