Answer:
The volume of the sphere is 904.32 mm³.
Step-by-step explanation:
Given that the surface area of the sphere is 452.16 mm², to determine what the volume of the sphere is, the following calculations must be performed, knowing that the surface area is obtained through the formula 4 x radius ^ 2 x π, and the volume of the sphere through the formula V = 4/3 πr³:
4 x radius ^ 2 x 3.14 = 452.16
4 x radius ^ 2 = 452.16 / 3.14
4 x radius ^ 2 = 144
radius ^ 2 = 144/4
radius = √36
radius = 6
4/3 x 3.14 x 6³ = Volume
1,333 x 3.14 x 216 = Volume
904.32 = Volume
Therefore, the volume of the sphere is 904.32 mm³.
