A vessel in the form of an open inverted cone of height 8 cm and radius of its top is 5 cm. It is filled with water up to the brim. When lead shots, each of radius 0.5 cm are dropped into the vessel, one fourth of the water flows out. Find the number of lead shots dropped in the vessel.

NCERT Class X
Mathematics - Exemplar Problems

Chapter _QUESTION PAPER SET II

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Answers

2015-06-10T06:54:18+05:30
Let no. of lead shots be x

According to the problem,
Volume of lead shots = 1/4*Volume of cone
or, x*4/3*22/7*0.5*0.5*0.5 = 1/4*1/3*22/7*8*5*5
or, x = 100

Answer: - 100 lead shots were dropped.
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