Final answer:
The volume of a hemisphere with a diameter of 47.7 inches is approximately 23239.7 cubic inches.
Step-by-step explanation:
To find the volume of a hemisphere, we can use the formula: V = (2/3)πr³, where r is the radius of the hemisphere. In this case, the diameter is given as 47.7 inches, so the radius is half of that, which is 23.85 inches. Plugging this value into the formula, we get:
V = (2/3)π(23.85)^³ ≈ 23239.7 in³.
Rounding to the nearest tenth, the volume of the hemisphere is approximately 23239.7 in³.