A dome-shaped structure is in the shape of a half-sphere. The diameter of the dome is 30 yards long, as shown below. What is the volume inside the dome? Explain how you got your answer.

volume = 7065 yards³

Step-by-step 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