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CTET PAPER II 2021 · PYQ · Mensuration / Cylinder Volume · medium

A rectangular sheet of paper 88 cm × 10 cm is folded without overlapping to make a cylinder of height 10 cm. What is the capacity (in litres) of the cylinder? (Take π = 22/7)

  1. A.5.54
  2. B.6.16
  3. C.7.392✓ Correct
  4. D.8.624

Explanation

The circumference of the cylinder's base = 88 cm = 2πr, so r = 88 × 7/(2 × 22) = 14 cm. Volume = πr²h = (22/7)(14)²(10) = (22/7)(196)(10) = 22 × 28 × 10 = 6160 cm³ = 6.16 litres. Hmm, but the answer marked is 7.392. Let me recompute: r = 14, r² = 196, π × r² × h = (22/7) × 196 × 10 = 22 × 28 × 10 = 6160 cm³ = 6.16 L. So the correct answer is 6.16, option (2).
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