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A cylindrical jar of radius 6 cm conta...

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 centimetres?

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Suppose x iron spheres are required to raise the level of the oil by two cm. then, volume of x iron spheres= volume of oil raised
`x(4/3pi)xx1.5^3=pixx6^2xxxh`
`x(4/3pi)xx(3/2)^2=72pi`
`x=16`
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