OptiPlex 7010 SFF, wondering if it will fit a ATI RADEON HD 4870

It certainly will not fit.

You need a single slot LP (low profile) card to fit.  Some suggestions:

• 30w GT 1030 GDDR5
• 30w-47w Quadro's P400, 600, & 1000
• 50w RX 6400

Useful info, @bradthetechnut. 😊

 
I have an OptiPlex 7010 DT lying around here. It came with an i3-3220 and 4GB RAM, so I stuck a Xeon E3-1275 v2 in it, and maxed it out with 32GB RAM; both were fairly cheap upgrades.

 
Now I’m thinking… should I seek out a low profile RX 6400 and whack that in too?
 

I also have three OptiPlex 5040 SFF units in the same pile, one i5 and two i7s. Hmm… 🤔

concur w chino and brad on HD 4870.  you could install a low profile amd card such as 8490 in SFF.  when the card has a thick cooler, install in blue PCIe slot.

@icourt​ 

"… should I seek out a low profile RX 6400 and whack that in too?"  It'll work with the DT being a little larger than SFF.

Just don't forget the part..."decently cheap priced but good graphics card"

Dell Nvidia T1000 8Gb.

I have a T1000 in my hand.  low power 50w not designe for gaming but can be used in gaming.  about same speed at 1050 ti per google.