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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

= 1.4 cm

Radius of spherical marble $= 0.7 cm$

Radius of cylindrical beaker $= \frac{7}{2} c m$

Height of cylinder $= 5 .6 cm$

Volume of cylinder $= n \times volume of each sphere$

$π {(\frac{7}{2})}^{2} \times 5.6 = n \cdot \frac{4}{3} π {(0.7)}^{3}$

$n = \frac{49 \times 5.6 \times 3}{4 \times 4 \times 0.7 \times 0.7 \times 0.7}$

$n = 150$

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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