Radio was playing then no sound is coming out, radio still powers up as well as the media center but no sound, is there a fuse for the output volume, this FX has the Bose sound system installed.

What system does it have ? Base or up level ,does it have a amp ? Do you know what a RPO code is ? Without testing no one could say for sure what the issue is . First off would need to know what system we are dealing with .
RPO Options
The entertainment system on this vehicle is configured with either a base or uplevel audio system. Both the base and uplevel audio systems contain a radio, antenna, and speakers.
The following shows the Enteratinment RPOs that are available for this vehicle:
• (UM7) AM/FM Stereo
• (U1C) AM/FM Stereo CD
• (US8) AM/FM Stereo, CD, MP3, RDS, EQ
• (US9) AM/FM Stereo, 6-Disc CD, MP3, RDS, EQ
• (UXQ4) Base Four Speaker
• (U79) Uplevel Four Speaker
• (WBM) Premium Audio
• (U2K) Digital Radio

Circuit Operation
Radio Power: The main radio power is supplied by the 10A RADIO (BATT1) fuse in the body control module (BCM). Radio switch-on power, 12 volts in ACC, RUN or RAP, is supplied by the 10A RADIO (ACC.) in the BCM.
Radio Grounds: The main radio ground provides a ground for the radio circuits. An additional braided ground strap provides a shielding radio case ground to reduce EMI noise. Both grounds are connected together inside the radio.
Radio Speaker Outputs: At zero volume, the plus (+) and minus (-) speaker outputs are both approximately 5-6 volts, measured to vehicle ground. If a plus or minus for any speaker output is shorted to ground or voltage, the radio circuitry will turn OFF all 4 speaker outputs for component protection. Above zero volume, the plus and minus change to create a voltage difference between each other, to drive the voice coil of the speaker.
Radio Park Lamp Input: The radio park lamp input allows the radio to sense when the vehicle parking lamps are ON. When the parking lamps are ON, this circuit goes to battery voltage, and the radio display back-lighting switches from full bright to the brightness level determined by the I/P illumination input.
Radio I/P Illumination Input: A pulse width modulated (PWM) voltage for instrument panel (I/P) illumination is provided to the radio I/P illumination input. The Radio uses this input to directly illuminate the radio buttons and adjust the radio display back-lighting when the park lamp input is ON.
Amplifier Power: The main amplifier power is provided by the 20A PREM AUDIO fuse in the instrument panel fuse block..
Amplifier Radio Speaker Inputs (WBM only): The radio speaker outputs, at a reduced output level for amplified systems, are the amplifier inputs. The amplifier boosts these inputs and outputs them to the vehicle speakers. Speaker plus and minus circuits from the radio change to create a voltage difference between each other. If one speaker plus or minus is open between the radio and the amplifier, the input to the amplifier is approximately half because only one of the circuits is changing. The speaker for that channel then operates at approximately only half the normal volume.
Amplifier Speaker Outputs (WBM only): At zero volume, the plus (+) and minus (-) speaker outputs are both approximately 5-6 volts, measured to vehicle ground. If a plus or minus for any speaker output is shorted to ground or voltage, the amplifier circuitry will turn OFF either the front outputs or rear outputs for component protection. Above zero volume, the plus and minus change to create a voltage difference between each other, to drive the voice coil of the speaker.
Amplifier Radio-On (WBM only): When the radio is ON, this circuit is pulled to 12 volts by the radio. The amplifier switches ON when this circuit is 12 volts and switches OFF when this signal is 0 volts.
Remote Radio Audio Signal Inputs (UE1 only): Audio output from the OnStar® communications module connects to the remote audio signal inputs of the radio. When the cellular telephone mute signal goes to 0 volts, the radio over-rides any other audio signal and uses these inputs as the source for output to the speakers.
Cellular Telephone Mute (UE1 only): The OnStar® communications module uses the cellular telephone mute signal circuit to over-ride the radio for OnStar® communication. When cellular telephone mute is not active, this circuit is held at 2 volts by the radio. When the cellular telephone mute signal is pulled to ground, the radio over-rides any other audio signal and uses the remote audio signals as the source for output to the speakers. If the radio was OFF when this circuit is pulled low, the radio will turn ON. Additionally, the radio fades the speakers to full front, adjusts the volume to an initial audible level, and sets an AutoTone designed for optimal use with OnStar®. When the mute signal is no longer pulled to ground, the radio returns to the mode it was in previously.

Hooking up a professional or factory scan tool that can read radio codes would be one of the first test's to do .
DTC B1025, B1035, B1045, or B1055 (w/out RPO WBM)
DTC B1025, B1035, B1045, or B1055 (w/ RPO WBM)
DTC B1030, B1040, B1050, or B1060 (w/ out RPO WBM)
DTC B1030, B1040, B1050, or B1060 (w/ RPO WBM)
DTC B1259
The following conditions are present for 250 ms or longer:
B1025 - B1055 01
One of the speaker positive output circuits is shorted to battery.
B1025 - B1055 02
The speaker positive output circuit is shorted to ground.
B1025 - B1055 04
The speaker positive output circuit is open.

Your best bet , take it to a qualified repair shop .

Speakers get power from the amp if your system has one or from the radio , if the tweeters work it's not a fuse problem . You like listen to your stereo loud . Blew a channel in the radio or amp ?
Take it and have it checked for DTC'S - diagnostic trouble codes
DTC B1025 01: Audio Output 1 Left Front Circuit Short to Battery
DTC B1025 02: Audio Output 1 Left Front Circuit Short to Ground
DTC B1035 01: Audio Output 2 Right Front Circuit Short to Battery
DTC B1035 02: Audio Output 2 Right Front Circuit Short to Ground
DTC B1045 01: Audio Output 3 Left Rear Circuit Short to Battery
DTC B1045 02: Audio Output 3 Left Rear Circuit Short to Ground
DTC B1055 01: Audio Output 4 Right Rear Circuit Short to Battery
DTC B1055 02: Audio Output 4 Right Rear Circuit Short to Ground

Each of the audio output channel circuits (+) and (-), at the radio and audio amplifier (if equipped) have a DC bias voltage that is one half of the battery voltage. When using a DMM, each of the audio output channel circuits will measure approximately 6.5 V DC. The audio being played on the system is produced by a varying AC voltage that is centered around the DC bias voltage on the same circuit. The AC voltage is what causes the speaker cone to move and produce sound. This voltage will vary depending on what type of audio is being listened to, talk or music, and type of music, as well as the volume setting of the system. Low volume and talk settings will measure around 1V AC and less, where constant music may measure 3 V AC and slightly higher.
Do you know how to do DC voltage testing ?
Without Amplifier without UK6
Ignition OFF, disconnect the harness connector at the appropriate speaker.
Radio ON, test for 5.0-7.5 V between the signal circuit terminal A and ground.
? If less than the specified range, test the signal circuit for a short to ground or an open/high resistance. If the circuit tests normal, replace the radio.
? If greater than the specified range, test the signal circuit for a short to voltage. If the circuit tests normal, replace the radio.
Test for 5.0-7.5 V between the signal circuit terminal B and ground.
? If less than the specified range, test the signal circuit for a short to ground or an open/high resistance. If the circuit tests normal, replace the radio.
? If greater than the specified range, test the signal circuit for a short to voltage. If the circuit tests normal, replace the radio.
If all circuits test normal, replace the speaker.

Bad solder joint in the radio. Now heat and cold controls the sound, not the volume control.

The volume control on your radio is called a potentiometer, which may be going bad. It works better when its warm because materials expand as they warm up and make tighter contact with each other.

It is also a possible a bad wiring connection exists. Poor contact will cause static, poor audio quality and intermittent output.

Your radio will have plug type connector(s) Your speakers will most likely each have two wires with single female spade connectors of different widths (keeps the polarity correct) the wire with the stripe (of whatever color) will be connected to the negative (-) speaker terminal.

So you need to check all the connections, one is making poor contact.
If both speakers (assuming you have two) sound good or bad... then start with the plug connectors for the radio and any independent black ground wire coming out of the radio.

If one speakers sounds okay check the connections on the other one. You check the connections by carefully pulling the speaker wire off of the speaker and then carefully pushing it back on making sure it feels tight and secure.

PS: If you pull the fuse for the radio, the radio will have no power and will not work. The radio coming on proves the fuse is good.

PSS: Your owners manual should provide lots of information on your sound system components.

I would try a new radio.

Could be speaker fuse or fuses esp if played loud with bass turned up worst case is power transistors blown then you may as well scrap it considering cost of repair vs second hand radio. Look at wires coming out of back of radio to speakers for inline fuse holders push and twist to open.There could be a fuse in rear panel of radio. Sorry I can't tell you how to remove the radio

If the radio powers on, the fuse is OK. You probably have a bad output section in the radio.

Check the speaker wires, and speakers. You didn't hit the "mute" button, did ya?

it being an avalon it is a higher end car. a lot of cars these days have external amplifiers factory installed. I would start checking fuses. it might be an aux power fuse or it might have radio fuse. they generally have two fuses that power them though. one that supplies 12 volts continuously so that all presets remain in memory, and the 12 volt switched power source that tells the radio that the key is on. I know that you said that the radio is functioning properly just no sound but your best bet would be to just start checking fuses. there is a fuse box inside car and also a fuse box under hood. you generally have to remove a small black cover and you will see the outside fuse box. when checking fuses though pay attention to anything that isn't working such as the cigarette lighter or horn, these are sometimes the power supplies to the radio. hope I didnt confuse you but an 05 is kinda too new for you to have a bad radio. more than likely something little just one of those aggrivating little jobs of finding what it is.

way different vehicle then i own but when i blew the fuse on the factory amp i had no sound.... have a look at your fuse panel.

Robert