Usually, new batteries are shipped in a discharged condition (just as Compaq Presario R3000 battery) and must be charged before use. New battery is generally recommend an overnight charge (approximately twelve hours). Rechargeable battery should be cycled (fully charged and then fully discharged) two to three times initially to allow it to reach their full capacity. (Note: it is normal for a battery to become warm to the touch during charging and discharging).
New laptop battery is hard for the device to charge; they have never been fully charged and are therefore "unformed". Sometimes the device's charger will stop charging a new battery before it is fully charged. If this happens, remove the battery from the device and then reinsert it. The charge cycle should begin again. This may happen several times during the first battery charge. Don't worry; it's perfectly normal.
Hope that it can help your Compaq Presario R3000 laptop new battery life.