In which direction is the velocity of a fluid particle at a point on a streamline directed?

Derive the equation of continuity for the steady flow of an incompressible fluid.

The surface of water in a water tank of cross-sectional area $750 \,cm^2$ on the top of a house is '$h$' $m$ above the tap level. The speed of water coming out through the tap of cross-sectional area $500 \,mm^2$ is $30 \,cm/s$. At that instant, $\frac{dh}{dt}$ is $x \times 10^{-3} \,m/s$. The value of '$x$' will be:

What is a tube of flow?

Explain streamline and streamline flow.

An incompressible fluid flows steadily through a horizontal cylindrical pipe. The pipe has radius $3R$ at point $A$ and $1.5R$ at point $B$, further along the flow direction at the same level. If the velocity at point $A$ is $v$, then the velocity at point $B$ is: