Answer:
The volume of the hemisphere is 1,475.73 cm³.
Step-by-step explanation:
Given that a hemisphere is half a sphere, to determine the volume of a hemisphere with a diameter of 8.9 cm, the following calculation must be performed, knowing that the volume of a sphere is equal to 4/3 πr³, and the radius is half the diameter:
8.9 x 2 = 17.8 / 2 = 8.9
(4/3 x 3.14 x 8.9³) / 2 = X
(1.333 x 3.14 x 704.969) / 2 = X
(4.18666 x 704.969) / 2 = X
2,951.47 / 2 = X
1,475.73 = X
Therefore, the volume of the hemisphere is 1,475.73 cm³.
