How much to remove a capped brick chimney with no fireplace running from basement, up 2 floors and thru attic?

The house is over a century old and the chimney is completely walled in, except in the basement and attic, there is no fireplace. I would estimate 40' tall. We were told it was in bad shape (crumbling) and had it capped. We would like to make renovations to our kitchen and bathroom and could use this extra space. The house has another chimney with a fireplace that we are keeping.