Multiple choice

A hemispherical bowl of internal radius 18 cm is full of liquid. This liquid is to be filled in cylindrical bottles each of radius 3 cm and height 6 cm. How many bottles are required to empty the bowl?

  1. 72

  2. 70

  3. 68

  4. 66
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Volume of the hemispherical bowl = (2/3) * pi * r^3 = (2/3) * pi * 18^3 = 3888 * pi. Volume of one cylindrical bottle = pi * r^2 * h = pi * 3^2 * 6 = 54 * pi. Number of bottles = (3888 * pi) / (54 * pi) = 72.

AI explanation

The volume of the liquid in the hemispherical bowl is two thirds times pi times 18 cubed, which equals 3888 times pi. The volume of one cylindrical bottle is pi times 3 squared times 6, which equals 54 times pi. Dividing the bowl volume by the bottle volume gives 3888 divided by 54, so 72 bottles are required.

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