Water flows at a speed of 6 cm/s through a tube having a radius of...

The Reynolds number is given by the formula:

$R_e = \dfrac{\rho v D}{\eta}$

Given:
Speed of water, $v = 6 \text{ cm/s}$
Radius of the tube, $r = 1 \text{ cm} \Rightarrow \text{Diameter}, D = 2 \text{ cm}$
Coefficient of viscosity, $\eta = 0.01 \text{ poise}$
Density of water, $\rho = 1 \text{ g/cm}^3$

Substituting the values into the formula:

$R_e = \dfrac{1 \times 6 \times 2}{0.01} = 1200$

For flow through a pipe, if the Reynolds number is less than $2000$, the flow is considered steady (laminar). Since $R_e = 1200 < 2000$, the flow is steady.