I pulled up the datasheet but there's only "Acoustics Sound Power Measured" and I can't make any sense of it. It's got numbers like (page 15):
Power in Watts: >= 300W
Servers/Rack Mount BA: 7.0
I'm trying to figure out if we can realistically install these servers (4) in the closet in our office. Our existing server is installed in there but it's a tower, not a blade. I have essentially no experience with this sort of thing and I'm being asked to help.
A decibel, dB, is a tenth of a bel, B.
The A on the end is for A weighting, which is a modifier to the noise calculation based on the frequency of the noise, since humans are more sensitive to noise at certain frequencies.
So, that server (apparently constantly at all power levels, which means its fan speed doesn't vary with load) makes 70 decibels of noise, A-weighted.
To address the specific concerns about the servers you've purchased...
These will be loud and unpleasant in an office closet. The HP servers I use often for office environments are nearly silent during operation (HP ProLiant DL380p and ML350p) at 22dBA to 25dBA. So 70bBA... not good.
Use a decibel comparison chart:
Passenger car at 65 mph at 25 ft (77 dB); freeway at 50 ft from pavement edge 10 a.m. (76 dB). Living room music (76 dB); radio or TV-audio, vacuum cleaner (70 dB).
or
Quiet rural area (30 dB); Whisper, rustling leaves (20 dB)
But what other options do you have? You are missing a Systems Administrator. Had this person not quit and installed the hardware, and it was found to be too loud, what would you have done then? Are you in a position to return the hardware for more appropriate equipment?
A lot of server fans speed up if the CPU gets hot, so to some extent this may depend on how hard you are going to work the server, and what temperature the office is.
If the closet has its own cooling there are lots of options for sound insulating it; without its own AC or outside vents then the closet must be vented to the main office.
My experience is that a well built closet with stud wall and a fire door is enough to make other sources of noise in an open plan office of more concern than the servers. I don’t recall ever working somewhere where the noise from the “server room” was more of a problem than people having meetings at their desks, or long phone calls.
As you already have the servers, I would be tempted just to carefully unpack them and power them up to see what they sound like. Sound is very hard to predict, for example just having a carpet in the server closet can be a big difference due to the sound it absorbs.