Design, write, compile, and run a $C++$ program that calculates and displays the velocity of water

flowing out of the tube shown in Figure $2\mathrm{.}19.$ The velocity of water flowing into the tube is $1f\frac{t}{sec},$

the input tube radius is $0\mathrm{.}75in,$ and the output tube radius is $0\mathrm{.}5in.$ Manually check the values

computed by your program. $(25$ points$)$

The output velocity is given by this formula:

$v_{\text{o}\text{u}\text{t}}=v_{in}(\frac{r_{in}}{r_{\text{o}\text{u}\text{t}}}{)}^2$

$v_{\text{o}\text{u}\text{t}}$ is the output velocity.

$v_{in}$ is the input velocity.

$r_{\text{o}\text{u}\text{t}}$ is the radius of the output tube.

$r_{in}$ is the radius of the input tube.