Answer:
volume = 7065 yards³
Explanation:
The dome shaped structure is in the shape of a half sphere. The diameter is given as 30 yards . The dome is half of a sphere which means it is an hemisphere.
The volume inside the dome is the volume of the hemisphere.
volume of the dome = 2/3πr³
volume = ?
r = radius
diameter = 30 yards
r = 30/2 = 15
volume = 2/3 × π × 15³
volume = 3375 × 2/3 × π
volume = 6750/3 × π
volume = 2250π
volume = 2250 × 3.14
volume = 7065 yards³