1.

A cylindrical tub of radius 16 cm contains water to a depth of 30 cm. A spherical iron ball is dropped into the cylinder and thus the level of water is raised by 9 cm. Find the radius of the ball. (Use π =\(\frac{22}{7}\)).

Answer»

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

Given, 

A cylindrical tub of radius 16 cm contains water to a depth of 30 cm. A spherical iron ball is dropped into the cylinder and thus the level of water is raised by 9 cm.

Volume of water displaced = Volume of the iron ball

⇒ \(\frac{4}{3}\)πr= π x 162 x 9

⇒ r3 = 1728

⇒ r = 12 cm



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