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The radius of a gold nucleus is 7.24\times 10^{-15}\mathrm{m} . Calculate the volume of the nucleus.

Option: 1

1.15 \times 10^{-44}m^{3}


Option: 2

2.81\times 10^{-44}m^{3}


Option: 3

1.52\times 10^{-44}m^{3}


Option: 4

3.45\times 10^{-44}m^{3}


Answers (1)

best_answer

Correct option b) 2.81\times 10^{-44}m^{3}

The volume of a sphere is given by the formula V=\frac{4}{3} \pi r^3, where\, \, r, where r is the radius of the sphere. Substituting the given value of radius, we get:

V=\frac{4}{3} \times \pi \times\left(7.24 \times 10^{-15}\right)^3=2.81 \times 10^{-44} \mathrm{~m}^3
Therefore, the volume of the gold nucleus is 2.81 \times 10^{-44} \mathrm{~m}^3.

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shivangi.shekhar

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