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- A cylindrical vessel of radius 7 cm contains water.
Question 1:
A cylindrical vessel of radius 7 cm contains water. A solid hemisphere of radius 6 cm is dipped into the water until it is completely immersed. The water level in the vessel will rise by A. 2.83 cm
B. 2.94 cm
Feedback Let the rise in water be t cm.
Volume of water increased in cylinder = π × 7 × 7 × t ----(a)
Volume of hemisphere = 2/3 × π × 6 × 6 × 6 ----(b)
According to the question
a = b
∴ t = (4 × 36)/49 = 2.94 cm
Volume of water increased in cylinder = π × 7 × 7 × t ----(a)
Volume of hemisphere = 2/3 × π × 6 × 6 × 6 ----(b)
According to the question
a = b
∴ t = (4 × 36)/49 = 2.94 cm
C. 2.69 cm
D. 3.01 cm
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