Sushant has a vessel of the form of an inverted cone, open at the top, of height 11 cm and radius of the top as 2.5 cm and is full of water. Metallic spherical balls each of diameter 0.5 cm are put in the vessel due to which two - fifths of the water in the vessel flows out Find how many balls were put in teh vessel. Sushant made the arrangement so that the water that flows out irrigates the flower beds. What value has been shown by Sushant ?

Explanation

Given `{h}=11 {~cm}, {r}_{1}=2.5 {~cm}, {r}_{2}=0.25 {~cm}`


`25 \times` volume of cone `={n} \times` Volume of each spherical ball



`25 \times \frac{1}{3} \pi {r}_{1}^{2} {~h}={n} \times \frac{4}{3} \pi {r}_{2}^{3}`



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