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.
