The nuclear radius is of the order of 10

-13 cm while atomic radius is of the order 10-8 cm. Assuming the nucleus and the atom to be spherical, what fraction of the atomic volume is occupied by the nucleus ?

Fraction of atomic volume occupied by nucleus =  (volume of nucleus) ÷(volume of atom)
Volume of nucleus = 4 π(10-13)3 cm3
Volume of atom = 4π(10-8)3 cm3
Fraction of atomic volume occupied by nucleus = (10-13)3 / (10-8)3 = 10-15
 

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