A cylindrical jar of radius 6 cm contains oil. Iron spheres each of ra

1.	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?
Answer» Volume of a sphere = \(\frac{4}{3}\)πr³ Volume of a cylinder = πr²h Given, Cylindrical jar of radius 6 cm contains oil. Iron spheres each of radius 1.5 cm are immersed in the oil. Level of the oil has to rise by 2 cm. Let the number of spheres required be ‘n’. ⇒ n x \(\frac{4}{3}\) x π x 1.5³= π x 6² x 2 ⇒ n = 16

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?

Answer»

Volume of a sphere = \(\frac{4}{3}\)πr³
Volume of a cylinder = πr²h

Given,

Cylindrical jar of radius 6 cm contains oil. Iron spheres each of radius 1.5 cm are immersed in the oil.

Level of the oil has to rise by 2 cm.

Let the number of spheres required be ‘n’.

⇒ n x \(\frac{4}{3}\) x π x 1.5³= π x 6² x 2

⇒ n = 16