Given: A cylindrical container of radius 4 cm contains some fluid. A solid sphere of radius 3 cm is lowered into the fluid until it is completely immersed in it. Find by how the level of fluid in the vessel will rise.
(A)
5/8 cm
(B)
9/4 cm
(C)
3/7 cm
(D)
9/13 cm
Answer: (B)
Explanation:
Volume of the sphere = 4/3 * π * r³ = 4/3 * π * 3³ Volume of fluid displaced = π * r² * h = π * 4² * h Given, Volume of fluid displaced = Volume of sphere π * 4² * h = 4/3 * π * 3³ h = 4/3 * 3³ / 4² = 9/4
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