dome (n.)
"a round, vaulted roof, a hemispherical covering of a building," 1650s, from French dome "a town-house; a dome, a cupola" (16c.), from Provençal doma, from Greek dōma "a house, housetop" (especially in reference to a style of roof from the east), related to domos "house," from PIE root dem- "house, household." In the Middle Ages, German dom and Italian duomo were used for "cathedral" (on the notion of "God's house"), so English began to use this word in the sense "cupola," a dome at the intersection of the nave and the transept, or over the sanctuary, being a characteristic architectural feature of Italian cathedrals. The word was used in U.S. also with reference to round summits of mountains, roofs of railroad cars, etc. The etymological sense "a building, a house," especially a stately one, was borrowed earlier in English (1510s) but mostly was restricted to poetry.
chamber (n.)
c. 1200, "a room in a house," usually a private one, from Old French chambre "room, chamber, apartment" (11c.), from Late Latin camera "a chamber, room". The Old French word and the Middle English one also were used alone and in combinations to form words for "latrine, privy" from the notion of "bedroom utensil for containing urine." In anatomy, "enclosed space in a body," from late 14c. Of machinery, "artificial cavity," from 1769. Gunnery sense "part of the bore in which the charge is placed" is from 1620s. Meaning "legislative body" is from c. 1400, an extended sense from the chambers or rooms where an assembly meets. Chamber music (1765) traditionally was that meant to be performed in smaller spaces.