Multiple choice

A hemispherical bowl of internal diameter 78 cm contains a liquid. The liquid is to be filled in conical bottles of radius 13 cm and height 3 cm . Then find the number of bottles that can be filled .

  1. 234

  2. 243

  3. 432

  4. 324

  5. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Volume of hemisphere = (2/3)πr³ = (2/3)π(39)³ = 39462π cm³. Volume of one cone = (1/3)πr²h = (1/3)π(13)²(3) = 169π cm³. Number of bottles = 39462π/169π = 233.5, which rounds to 234 complete bottles. The key is equating total volume and computing the ratio.

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