A cylindrical vessel of radius 4 cm contains water A solid sphere of radius 3 cm is lowered into the...........

Quantitative Aptitude (CDS) Mensuration 2D

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

1.5

2 cm

2.25 cm

4.5 cm

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Explanation:

Let the rise in the level of the water be h cm
Volume of the liquid displaced in the cylinder = Volume of the sphere
$\pi \times 4^{2}\times h=\frac{4}{3}\pi \times 3^{3}$
=>h=9/4=2.25 cm