A cylindrical jar of radius 6cm contains oil Iron spheres each of radius 1 5 cm are immersed in the ...........

Quantitative Aptitude ( CCS) Mensuration 3D

A cylindrical jar of radius 6cm contains oil. Iron spheres each of radius 1.5 cm are immersed in the oil. How many spheres are necessary to raise the level of the oil by 2 cm?

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Explanation:

Given,
The radius of the cylindrical jar (r) = 6 cm
Height of the cylindrical jar (h) = 2 cm
Let the number of balls be (n)
Volume of the cylinder = ∏×r²×h
= ∏×6²×2 ………………….(i)
Let the Radius of the sphere be 1.5 cm
Volume of the sphere = (4/3)∏×r³ ………………………….(ii)
Volume of the cylindrical jar is equal to the sum of volume of (n) number of spheres.
Now, equating equations I and ii we get,
∏×6²×2 = n * 4.1904
N= 16
= 16
16 spherical balls are required to raise the water level by 2 cm.