While determining the density of the material of a sphere using a spring balance and measuring cylind a student noted the following readings: (a) Reading of water level in the cylinder without sphere in it = 56 ml (b) Reading of water level in the cylinder with sphere in it = 64 ml If the mass of sphere is 80 g, calculate the density of the sphere.
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Explanation:
Mass = 81 grams = 0.008 kg
Initial reading = 54 ml
Final reading = 63 ml
Volume of sphere = Amount of water displaced by it
Amount of water displaced =
Final reading - Initial reading
= 63 - 54
= 9ml
Volume = 9 ml = 9 cm³
[1 ml = 1 cm³]
Density = Mass / Volume
= 81/9
= 9 g/cm³
= 9000 kg/m³
[1g/cm³ = 1000 kg/m³]
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