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23. While determining the density of a metallic sphere using a springbalance and measuring cylinder, a student notes the followingreadings.(a) Mass of the sphere 81g(b) Reading of water level in the cylinder without sphere-54mL(c) Reading of water level in the cylinder with sphere 63mL.On the basis of these observation calculate the density of thesphere.2

Answer»

Mass = 81 grams =0.008 kgInitial reading = 54 mlFinal reading = 63 ml

Volume of sphere = Amount of water displaced by it

Amount of water displaced =Final reading -Initial reading= 63 - 54= 9mlVolume = 9 ml = 9 cm³ [1 ml = 1 cm³]

Density = Mass / Volume= 81/9= 9g/cm³=9000 kg/m³ [1g/cm³ = 1000 kg/m³]



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