QA – Placement Quizzes | Mensuration 3D | Question 11

A cylindrical vessel of radius 4 cm contains water. A solid sphere of radius 3 cm is lowered into the water until it is completely immersed. The water level in the vessel will rise by:
(A) 2/9 cm
(B) 4/9 cm
(C) 9/4 cm
(D) 9/2 cm


Answer: (C)

Explanation: Volume of the sphere = 4/3 * π * r³ = 4/3 * π * 3³
Volume of water displaced = π * r² * h = π * 4² * h
Given,
Volume of water displaced = Volume of sphere
π * 4² * h = 4/3 * π * 3³
h = 4/3 * 3³ / 4² = 9/4

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