Question

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

Answer 1

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