(Hydraulics)a. Design, write, compile, and run a C++ program that calculates and displays...

(Hydraulics)

a. Design, write, compile, and run a C++ program that calculates and displays the velocity of water flowing out of the tube shown in Figure, The velocity of water flowing into the tube is 1 ft/sec, the input tube radius is 0.75 in, and the output tube radius is 0.5 in. The output velocity is given by this formula:

vout is the output velocity.

vin is the input velocity.

rout is the radius of the output tube.

rin is the radius of the input tube. 

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b. Manually check the values computed by your program. After verifying that your program is working correctly, modify it to determine the output velocity for a tube having an input radius of 1 in and an output radius of .75 in, when water is flowing into the tube at a rate of 1.5 ft/sec.

Figure: Water flowing through a tube