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Q.

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

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a

120

b

140

c

150

d

130

answer is B.

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Detailed Solution

Diameter of spherical marble =1.4cm

Radius of spherical marble =0.7 cm

Radius of cylindrical beaker =72cm

Height of cylinder =5.6 cm

Volume of cylinder =n×volume of each sphere

π(72)2×5.6=n⋅43π(0.7)3

n=49×5.6×34×4×0.7×0.7×0.7

n=150  

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