Here's a couple of pics of drawings given to me of the Mk.III by the Typhoon/Tempest Specialist at Air-Britain Historical Society.
Even here you can see that the radiator housing only just clears the bottom of the fuselage. After I got these drawings I tried to make a model of it, (last post), but not long ago my Dad gave me some old 'The Aeroplane' books, one from 1948 which had a cutaway drawing of the Fairey Firefly Mk.I, there was a note pointing at the engine area which said "Griffon Power Egg". I realised then that was what is on the Tempest Mk.III drawing and I'm changing my model build by using the front end from a Firefly. It matches very well when placed over the drawing.
If you have a Firefly kit, try placing it over the Kittyhawk and see what the difference is ---