Four identical cylindrical chalk-sticks, each of radius r = 0.5 cm and length…

GATE · 2024 · EC · General Aptitude

Four identical cylindrical chalk-sticks, each of radius r = 0.5 cm and length l = 10 cm, are bound tightly together using a duct tape as shown in the following figure.

Four identical cylindrical chalk-sticks bound by duct tape, source figure.

The width of the duct tape is equal to the length of the chalk-stick. The area (in cm2) of the duct tape required to wrap the bundle of chalk-sticks once, is

  1. A.

    20 (4 + π)

  2. B.

    20 (8 + π)

  3. C.

    10 (8 + π)

  4. D.

    10 (4 + π)

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