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RRB Junior Engineer / DMS / CMA 2019 · Question 84 of 3719

The cross sectional area of a hemisphere is 2772 cm² and its volume is 19404 cm³. What is its radius?

Mathematics - Mensuration

  1. Aa. 21 cmCorrect
  2. Bb. 22.5 cm
  3. Cc. 42 cm
  4. Dd. 13 cm

Answer: A. a. 21 cm

Explanation

As we know, 3 Volume of hemisphere = (2/3) πr (2/3) πr³ = 19404 --- (1) The curved surface area of the hemisphere = 2 πr² 2 πr² = 2772 … (2) Dividing (1) by (2), [(2/3) πr³]/ [2 πr²] = 19404/2772 r/3 = 7 r = 21 cm

Source: RRB JE 2019 CBT-1 (24-May-2019 Shift-1) — ixambee compilation with answer key and solutions · reliable-secondary

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