Answer:
V = 4000/3 pi ft^3
Step-by-step explanation:
The surface area of a sphere is
SA = 4 pi r^2
400 pi = 4 pi r^2
Divide each side by pi
400 = 4 r^2
Divide by 4
400/4 = r^2
100 =r^2
Take the square root of each side
sqrt(100) = sqrt(r^2)
10 =r
Now we can find the volume of the sphere
V = 4/3 pi r^3
V = 4/3 pi (10)^3
V = 4/3 pi 1000
V = 4000/3 pi
