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SSC MTS 2024 · PYQ · Mensuration · medium

What is the height of a solid right circular cylinder of radius 21 cm if its total surface area is 3828 cm² (use π = 22/7)?

Answer

The correct answer is C: 8 cm. TSA = 2πr(h+r): 2×(22/7)×21×(h+21) = 3828, so 132(h+21) = 3828, h+21 = 29, h = 8 cm.

  1. A.6 cm
  2. B.12 cm
  3. C.8 cm✓ Correct
  4. D.10 cm

Explanation

TSA = 2πr(h+r): 2×(22/7)×21×(h+21) = 3828, so 132(h+21) = 3828, h+21 = 29, h = 8 cm.
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