Geometry find the volume in terms of pi brainliest

Hello!

To find the volume of the given sphere, we need to use the formula: V = 4/3πr³. Although we are not given the radius, but the surface area. To find the surface area of the sphere, we need to use the formula: SA = 4πr².

With that formula, we can find the radius by isolating the variable "r".

100π = 4πr² (divide both sides by π)

100 = 4r² (divide both sides by 4)

25 = r² (take the square root of both sides)

r = 5 | The radius of the sphere is 5 feet.

With the radius, we can find the volume.

V = 4/3π(5)³

V = 4/3(125)π

V = 500π/3

Therefore, the volume of sphere is 500π/3 ft³.