Multiple choice

A container with a rectangular base of length $4.4$ m and breadth $2$ m is used to collect rain water. The height of the water level in the container is $4$ cm and water is transferred into a cylinder vessel with radius $40\ cm$. What will be the height of water level in the cylinder?

  1. $60$ cm
  2. $70$ cm
  3. $75$ cm
  4. $80$ cm
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Volume of water = 4.4m * 2m * 0.04m = 0.352 m^3 = 352000 cm^3. Cylinder volume = pi * r^2 * h = pi * 40^2 * h = 352000. h = 352000 / (pi * 1600) = 220 / pi approx 70.02 cm.

AI explanation

The water volume is the rectangular base area times the height, which is 440 cm times 200 cm times 4 cm, yielding 352000 cubic cm. For the cylindrical vessel, the volume is pi times radius squared times height, so 352000 equals 22 over 7 times 40 squared times height. Solving this gives a height of 70 cm.

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