a solid sphere of radius 3 cm is of mass 9 kg. find the mass of the sphere of the same material of radius 5 cm
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Radius of the sphere = 3cm
Mass = 9kg
Voume of the sphere = 4/3πr³
= 4/3 π (3)³
= 4/3 π 27
= 4×9 π
= 36π cm³
Mass per unit volume = 9 / 36π Kg cm-³
Now if New sphere has radius = 5cm
Volume = 4/3 π ( 5 )³
= 4/3 π × 125
= 500π / 3 cm³
Mass of new sphere = volume × mass per unit volume
= ( 500π / 3 ) × ( 9 / 36π ) kg
= ( 500π / 3 ) × ( 1 / 4π )
= 500 / 12
= 41.66 kg
Hope the solution is clear to you!!
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3cm of mass of 9kg and mass of sphere of the same material of radius 5cm=25cm
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