Multiple choice

A sphere of radius 3 cm is dropped into a cylindrical vessel partly filled with water. The radius of the vessel is 6 cm. If the sphere is submerged completely, the surface of the water is raised by

  1. 1/4 cm

  2. 1/2 cm

  3. 1cm

  4. 2cm
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The correct answer is C (1 cm). Volume of sphere = (4/3)πr³ = (4/3)π(3)³ = 36π cm³. This equals the volume of water displaced in the cylinder: πR²h = π(6)²h = 36πh cm³. Equating: 36π = 36πh, so h = 1 cm. The water level rises by 1 cm.

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