Answer: 5572.45 cubic feet
Work Shown:
Use the surface area to determine the radius.
SA = 4*pi*r^2
1519.76 = 4*3.14*r^2
1519.76 = 12.56*r^2
r^2 = 1519.76/12.56
r^2 = 121
r = sqrt(121)
r = 11
The radius of the sphere is 11 feet.
Now we can determine the volume of the sphere.
V = (4/3)*pi*r^3
V = (4/3)*3.14*11^3
V = 5572.45333333333
V = 5572.45
The volume of the sphere is approximately 5572.45 cubic feet.
The result is approximate because pi = 3.14 is approximate.