Answer:
To find the ratio of the volume of an atom to the volume of the nucleus.
Let us consider
The radius of the atom (r1) = 10-10
The radius of the nucleus (r2) = 10-15
Let us take the volume of the atom to the volume of the nucleus, then we get
\(\frac{Volume\, of\, atom }{Volume\, of\, nucleus} =\frac{\frac{4}{3}\pi r_{1}^{3}}{\frac{4}{3}\pi r_{2}^{3}}\)⇒ \(\frac{\left ( 10^{-10} \right )^{3}}{\left ( 10^{-15} \right )^{3}}\)
⇒ \(\frac{10^{-30}}{10^{-45}} = 10^{\left ( -30+45 \right )}\)
⇒ \(10^{15}\)
Hence the ration of the volume of an atom to the volume of the nucleus is 1015.
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