Q6 of 32 Page 260

Spherical Marbles of diameter 1.4 cm are dropped into a cylindrical beaker of diameter 7 cm., which contains some water. Find the number of marbles that should be dropped in to the beaker, so that water level rises by 5.6 cm.


Given that, diameter(d) of sphere is 1.4 cm and diameter(D) of cylindrical beaker is 7 cm and height(h) required is 5.6 cm.


⇒ vol. of one spherical marble


(∵ )


= 1.437 cm3


⇒ vol.of water reqired(cylindrical) = πR2h


(∵ )


= 215.7 cm3


∴ the number of marbles that should be dropped in to the beaker, so that water level rises by 5.6 cm



= 150


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