Consider a bowl in the shape of a perfect hemisphere with radius \(R = 19 \text{ cm},\) as shown in the diagram below. Now, place a spherical marble with radius \(r = 1 \text{ cm}\) on the edge of the bowl \((\)point \(A)\) and let it roll.

How long does the marble take to reach the bottom of the bowl \((\)point \(B)?\)

Assume a gravity acceleration of \(g = 10 \text{ m/s}^2.\)

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