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Question
While determing the density of the material of a sphere using a spring balance and measuring cylinder,a student noted the following readings
a)Reading of water level in the cylinder without sphere in it=56ml
b)Reading of water level in the cylinder with sphere in it=64ml
If the mass of the sphere is 80g,calculate the density of the sphere.
While determing the density of the material of a sphere using a spring balance and measuring cylinder,a student noted the following readings
a)Reading of water level in the cylinder without sphere in it=56ml
b)Reading of water level in the cylinder with sphere in it=64ml
If the mass of the sphere is 80g,calculate the density of the sphere.
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Solution
Mass = 80 grams = 0.008 kg
Initial reading = 56 ml
Final reading = 64 ml
Volume of sphere = Amount of water displaced by it
Amount of water displaced by it =
Final reading - Initial reading
= 64 - 56
= 8ml
Volume = 8 ml = 8 cm³ [ 1 ml = 1 cm³]
Density = Mass / Volume
= 80/8
= 10 g/cm³
= 10000 kg/m³ [1g/cm³ = 1000 kg/m³]
Initial reading = 56 ml
Final reading = 64 ml
Volume of sphere = Amount of water displaced by it
Amount of water displaced by it =
Final reading - Initial reading
= 64 - 56
= 8ml
Volume = 8 ml = 8 cm³ [ 1 ml = 1 cm³]
Density = Mass / Volume
= 80/8
= 10 g/cm³
= 10000 kg/m³ [1g/cm³ = 1000 kg/m³]
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