The internal fuel in the Hellcat, with 20 minutes combat is 625 miles. With a 150 gal droptank that get to 945 - 950 miles, depending on whom you believe. The Navy combat radius was with 1 hour reserve fuel.
That means if the Hellcat could drop tank OVER Berlin, it could make it home.
It can't make it past Brunswick on a good day under ETO SOP - see below
Some escorts had to drop tanks in combat before reaching Berlin ... but not all. The guys in FRONT dropped tanks and entered combat and turned back, the guys in the back or higher and not in front may not have done so due to the limited number of aircraft and good pilots the Luftwaffe had.
Nitpicking but the guys that Spotted them, front/top/rear dropped tanks to engage.
When WE put up 1,000 fighters in waves, the Luftwaffe did NOT. 200 opposed by 25 - 75 is not a good fight. If not, then the guys who dropped tanks would turn around and the other guys would continue the escort. It's not all that complicated, and most likely worked similary for the escorts who DID the job in the actual war.
WE put them up in relays. Pre D-Day only several Mustang and several P-38 Groups, numbering from 150 to 300 actually performed the Brunswick to Berlin/Posnan or Stuttgart to Schweinfurt/Munich segments.. while the '750' P-47s were restricted to Dummer Lake or Frankfurt
In any case, what they DID worked ... we won.
Yea!
FYI - here is a Range data summary for the P-47C with R-2800-21
http://www.wwiiaircraftperformance.org/p-47/p-47c-tactical-inc2.jpg
Note several points for Combat Radius of this Jug with 305 gallons and no external tank @25000 feet.
170 miles with 20 minutes of combat, and 15 gallons of reserve.
190 miles @15000 feet.
Combat @ 100% MP, !00%RPM
Cruise @60%MP and 84%RPM
Key points - similar to same engine with similar sfc for auto rich and auto lean.
No calculations for forming up large formation and climbing to 25000 feet in formation.
No Single 150 gallon tank Drag (approximately 20mph for either P-47 or F6F) to reduce range/gallon while external tank is attached
Note: Max Range @54%MP and 63%RPM = 650 miles w/o Tank and 25 gallons reserve
Max Range calcs do not include formation take of times nor formation assembly times nor combat.
This would be approximately 650/280 = 2.3 miles per gallon absolute best case with no provision of burning 50 plus minutes warming up, taking off and assembling or using 20 minutes of combat power.
So let's do a 'Hypothetical F6F-3 Escort to Berlin with F6F-3 and 150 gallon external tank"
Assumptions - Fuel consumption of F6F w/R2800-10 about the same as the P-47C with R2800-21; That Cruise altitude and airspeed must be 25,000 feet and 300mph TAS with whatever throttle conditions are required for max range at that airspeed.
I'm speculating (absent valid data from you) that auto lean fuel consumption for F6F at 300mph is close to the Jug at 25000 feet - or approximately 2.2mi/gallon to maybe 2.5 mi per gallon - which is Jug consumption w/o tank in auto lean for max range at 25K per the link above
Average warmup before the 1st pair trundle to Active = 5 minutes
Average take off for 48 ships at 2 every 30 seconds = 24 minutes
Average time to complete formation assembly of last several ships off the runway = 5 minutes
Average climb in auto lean to 25,000 feet = 14 minutes on external fuel tank
Miles to get to R/V, say Brunswick, at 300mph (not sure the F6F can get 300mph in Auto Lean so this is Best case fuel consumption) - 400+ = 1 hour 20 minutes = 80 minutes at increased power to achieve 300 mpg with drag of 150 gallon tank until drop.. throttle and rpm setting as required to do 320mph w/o tank.
Miles to Ess above Bombers to Berlin and back to Brunswick = 250 miles at bomber speed 200 mph while F6F weaving at 300mph = 1 hour 15 minutes
Combat 20 minutes full Combat = 20 minutes full rich
Cruise 400 miles at 25,000 feet at 300 mph = 1 hour 20 minutes
Descend and land all 48 ships - one ship every 30 seconds (no weather) = 24 minutes
USN Standard = 1 Hour reserve.
So let's use 120 gallons per hour in auto lean as a high range to start with. (300 mph/2.5gph = 120 gallons every hour)
1.) 48 minutes from SE to 25,000 feet over English Coast. = 48/60 x 125 = .8x120= 96 gallons. 30 minutes internal = 60 gallons and 18 minutes internal = 36 gallons drop tank. 114 gallons left in drop tank, 190 gallons internal left
2.) Cruise 114g/120gph = .95 x 60 minutes = 57 minutes x 300 mph = Drop tanks @ 285mi from English Coast - 300 miles left to go to get to Berlin, 115mi to get to Brunswick with 190 gallons remaining internally.
3.) Cruise 115/300 = .38 hours to get to R/V = .37 x 120gph = 46 more gallons internal fuel to get to Brunswick and meet bombers.
144 gallons left for the mission.
4.) Cruise with bombers 250 miles. Bomber travel at 200mph TAS so 1 hour 15 minutes to bomb Berlin and return to Brunswick. 1.25 hours times 120 gph = 150 gallons. but you only have 144 left.
F6F starts long glide home west of Berlin and east of Brunswick. German fighters ignore gliding F6F's.
USN Fighter base waits for new replacements.