Answer:
1092π ft³
Step-by-step explanation:
The formula for the volume of a sphere is
V = ⁴/₃πr³
1. Volume of larger sphere
V₁ = ⁴/₃π (11)³ = ⁴/₃π × 1331 = 1774⅔π ft³
2. Volume of smaller sphere
V₂ = ⁴/₃π (8)³ = ⁴/₃π × 512 = 682⅔π ft³
3. Difference of volumes
V₁ - V₂ = 1774⅔π ft³ - 682⅔π ft³ = 1092π ft³ ≈ 3431 ft³
The difference of volumes of the spheres is 1092π ft³.
