**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.**

**Solution:**

Let number of lead shots = n

Height of cone = h = 8 cm

Radius of cone cm

Volume of water present in the cone = Volume of cone

Volume of water flown out

Radius of lead shot = r = 0.5 cm

Volume of each lead shot

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**According to given situation, n lead shots are thrown into cone such that of water present in cone flows out.**

It means volume of n lead shots = volume of water flown out