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Answer 1 · 2018-02-19T11:08:14

No. Of spheres that the cylinder can contain = 6.

Water overflowing volume = 678.54cc

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Volume of cylinder #V_c = pi r^2 h#

Given : #r_c= 3.5 cm, h_c= 20cm#

#V_c = pi (3.5)^2 * 20 = 769.69 cc#

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Volume of sphere #V_s = (4/3) pi r^3#

Given #r_s= 3 cm #V_s = (4/3) pi 3^3 = 113.09cc#

No. of spheres that can be placed in the cylinder #N = V_c / V_s = 769.69 / 113.09 = 6.8# or only 6 whole spheres can be filled in the cylinder.

Water that will be overflowing after dropping 6 spheres in it = 6 * 113.09 = 678.54# cc