Q. 224.5( 6 Votes )

A cylindrical jar of radius 6 cm 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 two centimeters?

Answer :

Given that, radius of cylindrical jar, r = 6cm

Depth/height of the jar, h = 2cm

Volume of the jar, V’ = π r2 h

V’ = π (6)2 (2) cm3

Radius of the sphere = 1.5cm

So, volume of the sphere =

Volume of oil in cylindrical jar = volume of n spheres needed to raise the level by 2 cm

n = 16

number of iron sphere needed = 16

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