Kirk didn't need the computer to tell him that the primary hull was clear.
They would make their best effort to get the two injured people up the three levels to the primary hull.
They must have taken the hit somewhere in the primary hull.
At least we're all still going to be in the primary hull: that's a mercy.
And what's happened to all the personnel quarters in the primary hull?
"He would have wondered why you needed a primary hull in the first place."
She was below the waterline inside the primary hull now.
We're not reading any life signs in the primary hull.
By measuring areas of stress on the ship's primary hull, the computer could project upon that and come up with a figure.
Inside, they headed directly for the rear of the primary hull.