The phrase "the volume of work" is correct and can be used in written English. You can use it to refer to the amount of work that needs to be done, either in a specific project or over a certain period of time. For example: "With the current volume of work, the team will have to work overtime to meet the deadline.".
In the public sector, because of the volume of work that we have, our working hours are quite long.
The volume of work is large.
"The volume of work was difficult.
"It's just the volume of work.
Instead, the volume of work has steadily increased and her creative passion has grown with it.
The volume of work he's done is clearly standing him in good stead.
What makes the volume of work all the more remarkable is its variety.
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Cristina Valenza
Retail Lead Linguist @ Apple Inc.