9514 1404 393
Answer:
r ≈ 4.698 in
Step-by-step explanation:
The formula for the volume of a sphere is ...
V = (4/3)πr³
Solving for the radius gives ...
r = ∛(3V/(4π))
Filling in the given numbers, we find the volume to be ...
r = ∛(3×434/(4×3.14)) = ∛(16275/157) ≈ 4.697576 . . . inches
Rounded to 3 decimal places, the radius is ...
r ≈ 4.698 in
