A vessel in the shape of a cuboids rsquo contains some water If 3 identical spheres are immersed in ...........

Quantitative Aptitude ( CCS) Mensuration 3D

A vessel in the shape of a cuboids’ contains some water. If 3 identical spheres are immersed in the water, the level of water is increased by 2 cm. If the area of the base of the cuboids is 160 cm² and its height is 12 cm. determine the radius of any of the spheres?

2.36 cm

2.94 cm

2.25 cm

2.67 cm

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Explanation:

Given,
The area of the cuboids’= 160 cm²
Level of water in the vessel increased = 2 cm
Volume of the vessel = 160 *2 cm²
=320 cm² ……………………………….. (i)
Volume of each sphere = (4/3)∏×(r)³
Total volume of 3 spheres = 3×(4/3)∏×(r)³……………..(ii)
Now equating equation (i) and (ii) we get
320 = 3×(4/3)∏×(r)³
R= 2.94 cm.
The radius of the sphere so obtained is 2.94 cm.