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The formula of the volume of a sphere is: [tex]V=\frac{4}{3}\pi r^3[/tex].
The fomula of the surface area of a sphere is: [tex]A=4\pi r^2[/tex].

So, if you know the surface area, you can find the radius of a sphere from secon formula:
[tex]r=\sqrt{\frac{A}{4\pi}}[/tex]
[tex]r=\sqrt{\frac{452.39}{4\pi}}=6[/tex]

Now, you can find the volume of a sphere:
[tex]V=\frac{4}{3}\pi 6^3=\frac{4}{3}*216\pi=288\pi \approx 904.78 cm^3[/tex]

The volume of the given sphere with a surface area of 452.39cm² will be around 904.78 cm³.

What is the volume of the sphere?

A sphere is a 3D geometrical object which has a radius and becomes a point that revolves around a fixed point called the center.

A sphere has surface area and volume based upon the radius of the sphere.

For example, if you have a sphere of radius r then its surface area will be 4πr² and volume will be (4/3)πr³.

Given that a sphere with an area

Area = 452.39cm²

4πr² =  452.39cm²

r²  =   452.39/4π

r = 6 cm.

Then the volume will be

Volume = (4/3)πr³

Volume = (4/3)π × 6³

Volume = 904.78 cm³ hence it will be the correct answer.

For more about the volume of a sphere

https://brainly.com/question/9994313

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