Total Current in a Spherical Conductor

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The current density in a spherical conductor of radius $R$ is given by $J = J_0 \frac{r}{R}$ , where $r$ is the distance from the center. The current is directed radially inward. What is the total current entering the sphere?

$I = 2\pi J_0 R^2$

$I = \pi J_0 R^2$

$I = 4\pi J_0 R^2$

$I = \frac{4\pi J_0 R^2}{3}$

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