The volume of a sphere is 3,000π m3. what is the surface area of the sphere to the nearest square meter? 165 m2 2,158 m2 1,079 m2 37,699 m2

To solve this problem and calculate the area of the sphere, you must apply the following formulas:

 Formula N° 1:

 V=4/3(πr³)  

 V is the volume of the sphere (V=3,000π m³).
 r is the radius.

 Formula N° 2:

 A=4πr²

 A is the area of the sphere.
 r is the radius.

 As you can see, you don't have the value of the radius "r". So, you must rewrite the Formula N° 1, and clear "r":

 V=4/3(πr³)
 (3,000)(3)=4πr²
 r³=9,000/4π
 r=(9,000/4π)^1/3
 r=13.1037 m

 Then, to calculate the area of the sphere, you must substitute the value of "r" into the Formula N° 2:

 A=4πr²
 A=4π(13.1037)²
 A=2,158 m²

 What is the surface area of the sphere to the nearest square meter?

 The answer is: 2,158 m²

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