SP$5$

A pipe with a circular cross section has a diameter of $8$ cm $.$ It narrows at one point to a diameter of $5$ cm $.$ The pipe is carrying a steady stream of water that completely fills the pipe and is moving with a speed of $1\mathrm{.}5\frac{m}{s}$ in the wider portion.

a$.$ What are the cross$-$sectional areas of the wide and narrow portions of the pipe? $(A=r^2,$ and the radius is half the diameter.$)$

b$.$ What is the speed of the water in the narrow portion of the pipe?

c$.$ Is the pressure in the narrow portion of the pipe greater than, less than, or equal to the pressure in the wider portion? Explain.