Multiple choice

There are $42$ hemispherical bowls, each of radius $3.5cm$. Find the quantity of water in litres which is just sufficient to fill these $42$ bowls. (Take $\pi=\cfrac{22}{7}$)

  1. $3.773$ litres
  2. $3.553$ litres
  3. $3.223$ litres
  4. $4.773$ litres
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A Correct answer
AI explanation

The volume of one hemispherical bowl is found using the formula (2/3) * pi * r^3, which gives (2/3) * (22/7) * 3.5 * 3.5 * 3.5 to equal 89.833 cubic cm. Multiplying this by 42 bowls gives a total volume of 3773.5 cubic cm. Since 1000 cubic cm equals 1 liter, dividing by 1000 gives the required quantity of water as 3.773 liters.