Glycerin At $30^{\circ} \mathrm{C}$ Has a Density Of $1,260 \mathrm{~kg} / \mathrm{m}^{3}$

Glycerin at $30^{\circ} \mathrm{C}$ has a density of $1,260 \mathrm{~kg} / \mathrm{m}^{3}$ and a viscosity of $0.630 \mathrm{~Pa} \mathrm{~s}$ . In a laboratory experiment, some glycerin is forced through a horizontal tube that is $10.0 \mathrm{~cm}$ long and $1.00 \mathrm{~cm}$ in diameter. The high-pressure end of the tube is held at a gauge pressure of $618 \mathrm{~Pa}$ , while the other end is open to the atmosphere. What is the flow rate of the glycerin through the tube?

A) $1.70 \times 10^{-6} \mathrm{~m} 3 / \mathrm{s}$
B) $1.95 \times 10^{-6} \mathrm{~m} 3 / \mathrm{s}$
C) $2.05 \times 10^{-6} \mathrm{~m} 3 / \mathrm{s}$
D) $1.87 \times 10^{-6} \mathrm{~m} 3 / \mathrm{s}$
E) $2.41 \times 10^{-6} \mathrm{~m}^{3} / \mathrm{s}$