Answer :
Final answer:
The volume of a hemisphere with a radius of 39.4 ft is approximately 128,318.3 cubic feet, rounded to the nearest tenth.
Explanation:
To calculate the volume of a hemisphere with a radius of 39.4 ft, we use the formula for the volume of a sphere and then divide it by two because a hemisphere is half of a sphere. The formula for the volume of a sphere is V = (4/3)πr³, where V is the volume and r is the radius.
To find the volume of the hemisphere, we calculate:
V = ½ * (4/3)πr³
V = ½ * (4/3)π * (39.4 ft)³
First, calculate the radius cubed (39.4 ft)³ = 61,171.064 ft³. Then, multiply by π (approximately 3.14159):
V = ½ * (4/3) * 3.14159 * 61,171.064 ft³
V = ½ * 256,636.648 ft³
V ≈ 128,318.3 ft³
Therefore, the volume of the hemisphere is approximately 128,318.3 cubic feet, rounded to the nearest tenth.