Question

What is the volume of a hemisphere with a diameter of 8.9 cm, rounded to the nearest tenth of a cubic centimeter?

Answer 1

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.