You must say what are the fixtures served by the water heater (lavatories, bathtubs...) and the number of these fixtures and according to this data I can answer you clearly.
There should be a plate or decal on the front of the heater that says how many gallons it is. It has other information on it also.
The wire size is dependent upon the wattage size of your water heater. The higher the wattage the larger the wire size. A standard 3000 watt heater will use a two pole 20 amp breaker connected to 2C #12 wire.
A lot less because the water is flowing if it is exiting and it depends on the water pipe size.
what size water heater for 3000 sq ft 4 bathroom house
Depends on the size of the heater Commerical etc
NONE a boiler is a boiler and a water heater is a water heaterSEE ASME section IV or the NBBI
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The only way is to run 3/4 to the heater. If the house is 3/4 this should have been done when it was installed. You should only reduce the size at the fixtures.
The cost of a water heater will depend on many factors, including the fuel source (electric or gas), as well as the style and size. Warranty and installation should also be figured into the cost. A good range would be $150 - $350 for the heater and $200 for installation.
10/3 wire with 30 amp double pole breaker from panel box to water heater.
There should be a dial on the front of the heater that you set the temp. with.
Standard meter will suffice, need to know pressure from meter to house. Size pipe appropriately for gas pressure coming into house X distance to water heater. Gas company or plumber should be able to help with this calculation.