The phrase "at a high volume" is correct and usable in written English.
It can be used to describe something that is being done or produced at a loud level, often in reference to sound.
Example: "The music was playing at a high volume, making it difficult to have a conversation."
Alternatives: "at a loud level" or "at a loud intensity."
When the results are not up to DeGuglielmo's standards, the linemen are sure to hear about it — at a high volume.
He could often be heard talking loudly on the telephone in Arabic in the mornings, and in the afternoon he streamed Arabic television stations at a high volume.
Screen thesps are thus not required to operate at a high volume – making a performer such as Nicolas Cage something of a rarity, and loud acting – beyond the stage or opera house – a dying art.
Like many poets in the modern tradition, she relies on charged words and phrases to create an atmosphere of portent and high emotion rather than attending to precision or sense; she writes vaguely but at a high volume.
Schilling may be a more complete pitcher, but he still plays at a high volume, and his fastball was clocked at 97 miles an hour in the ninth inning of Game 5 of the division series against the St . Louis Cardinals
Jon Shaver, 47, a former bike messenger from Hoboken, clad in high-riding shorts and a ski hat last week, has been cycling to and from the ferry since the storm, while his wife takes the bus — where people do not hesitate to "get on their cellphones and talk about whatever's on their mind at a high volume," Mr. Shaver said.
The music was played at such a high volume that West defeated the entire idea of a V.I.P. event.
13– 16 These studies have largely been undertaken at tertiary hospitals with a high volume of patients.
Printed at a higher volume than the hardback, it usually sells in greater numbers, but at lower margins.
