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A rectangular tin sheet measuring 44 cm by 22 cm is curled into a tall open cylinder by bringing its two 44 cm edges together and joining them, with no overlap. How much space does that cylinder enclose, in cubic cm? (Use π = 22/7.)

Competition practiceMensuration
  • A3388
  • B6776
  • C1694
  • D968

Step-by-Step Solution

Joining the two 44 cm edges makes the 22 cm side wrap right round, so the circumference is 22 cm and the 44 cm side becomes the height. From 2π cm, and the volume = (22/7) cubic cm. The trap 3388 curls the sheet the other way, taking 44 cm round the rim and 22 cm as the height, which is a genuine cylinder but not the one described; 6776 solves π instead of 2π, doubling the radius; is the sheet's area, a flat quantity offered where a volume was asked.
Answer: C) 1694

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