Water undergoes viscous flow through two pipes with the same pressure difference between the ends. Pipe 1 has three times the diameter and twice the length of pipe 2. If the flow rate through pipe 1 is 0.400 cm^{3}/s, then what is the flow rate through pipe 2?

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6.22 × 10^{−3} cm^{3}/s

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7.78 × 10^{−3} cm^{3}/s

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8.33 × 10^{−3} cm^{3}/s

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9.88 × 10^{−3} cm^{3}/s

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10.80 × 10^{−3} cm^{3}/s