Help me figure out how much speed my RV can gain by fairing the Pitot Tube.

The pitot is made of 3/8" OD aluminium tube, with a 6" length perpendicular
to the airstream. That gives a surface area of 3/8" x 6" = 2 1/4 sq inches.
My understanding is that the Cd of a cylinder is .5 and the Cd of a faired
shape can be as low as 0.005, but let's assume 0.05 for the faired shape.

The effective area is .5 x 2 1/4 square inches = 1.125 square inches for the
cylinder.

and

0.05 x 2 1/4 = 0.1125 square inches for the streamlined shape.

The difference is 1.125-.1125 = 1.06875 square inches. Let's call it 1
square inch...

Assuming I'm in the ballpark so far, how much power can I "save" at 175 mph
by streamlining the pitot, which eliminates essentially 1 square inch from
the aircraft's effective frontal area?

KB