A vessel is in the form of an inverted cone. Its height is 8 cm. and the radius of its top is 5 cm. It is filled with water up to the rim. When lead shots, each of which is a sphere of radius 0.5cm are dropped into the vessel, 1/4 of the water flows out. Find the number of lead shots dropped into the vessel.
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Answer:
100 lead shots dropped into the vessel.
Step-by-step explanation:
A vessel is in the form of an inverted cone
radius = r = 5 cm Height = 8 cm
Volume = (1/3)πr²h = 200π/3 cm³
1/4 of the water flows out
=> 50π/3 cm³ water flows out
Volume of one Spherical shot = (4/3)πR³
= (4/3)π(0.5)³
= π/6
Number of shots = (50π/3)/(π/6) = 100
100 lead shots dropped into the vessel.
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