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



The width of the duct tape is equal to the length of the chalk-stick. The area (in $\mathrm{cm}^{2}$ ) of the duct tape required to wrap the bundle of chalk-sticks once, is

  1. $20(4+\pi)$
  2. $20(8+\pi)$
  3. $10(8+\pi)$
  4. $10(4+\pi)$
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