Answer:
574.85 in² (approx.)
Step-by-step explanation:
The sphere's volume equation is V = (4/3) * π * r³, which we can set equal to the given volume of 1296 in³:
1296 = (4/3) * π * r³
Now solve for r to get r ≈ 6.7635 in.
The surface area of a sphere is SA = 4 * π * r². Now substitute r into that equation to get:
SA = 4 * π * (6.7635)² ≈ 574.85 in²