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A vessel is in the form of an inverted cone. Its height is 8 cm and the radius of its top, which is open, is 5 cm. It is filled with water up to the brim. When lead shots, each of which is a sphere 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. |
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Answer» Volume of vessel=`1/3pir^2h` =`1/3pi5^2*8` =`200pi/3` Volume of lead shots=`4/3pir^3` `n4/3pi(0.5)^3=1/4pi/3(200)` `n=100` total no. of lead shots=100 |
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