The surface area of the sphere is 452.16 mm² what is the volume of the sphere

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.

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