The volume of the nucleus will be
Vnucleus=34π⋅(10−5)3cm3
The volume of the atom will be
Vatom=34π⋅(10−10)3.cm3
Divide the two volumes to get the fraction of the atom occupied by the nucleus
F
VatomVnucleus=34π(10−10)334π(10−5)3=[10−1010−5]3=1.0×1015
This means that the nucleus occupies 1.0×1015 of the volume of the atom.
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