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A vessel is in the form of an inverted c...

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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To solve the problem, we need to find the number of lead shots dropped into the conical vessel when one-fourth of the water flows out. ### Step-by-Step Solution: 1. **Calculate the Volume of the Conical Vessel:** The formula for the volume \( V \) of a cone is given by: \[ V = \frac{1}{3} \pi r^2 h ...
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