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The electric charge density inside an atomic nucleus of radius RRR is ρ(r)=ρ0[1−(rR)2].\rho (r) = {\rho}_{0} \left[1-{\left(\frac{r}{R}\right)}^{2}\right].ρ(r)=ρ0[1−(Rr)2]. If ρ0=5×1025 C/m3{\rho}_{0} = 5 \times {10}^{25}\text{ C/m}^{3}ρ0=5×1025 C/m3 and R=3.4×10−15 mR = 3.4 \times {10}^{-15}\text{ m}R=3.4×10−15 m, what is the total charge?
Express your answer to the nearest elementary charge (should be an integer).
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