Multiple choice

A solid is in the form of a circular cone mounted on a hemisphere. The radius of the hemisphere is 2.1 cm and the height of the cone is 4 cm. The solid is placed in a cylindrical tub full of water, in such a way that the whole solid is submerged in water. If the radius of the cylinder is 5 cm and its height is 9.8 cm, find the volume of water left in the cylindrical tub?

  1. $372.156 cm3$
  2. $732.166 cm3$
  3. $237.135 cm3$
  4. $702.150 cm3$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Volume of hemisphere = (2/3)π(2.1)³ = 19.404 cm³. Volume of cone = (1/3)π(2.1)²(4) = 18.476 cm³. Total solid volume = 37.88 cm³. Cylinder volume = π(5)²(9.8) = 769.69 cm³. Water left = 769.69 - 37.88 = 731.81 cm³, which rounds to 732 cm³. This matches option B (732.166 cm³) accounting for π approximation.

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