Final answer:
The volume of a hemisphere with a radius of 7.6 m is calculated using the formula for the volume of a sphere, halved. It results in a volume of approximately 916.9 cubic meters when rounded to the nearest tenth.
Step-by-step explanation:
The volume of a hemisphere is half the volume of a sphere. Therefore, to find the volume of a hemisphere, we use the formula for the volume of a sphere ½(4/3)πr³, where r is the radius. In this case, with a radius of 7.6 meters, the formula becomes: ½(4/3)π(7.6 m)³. Calculating this, we get:
½(4/3)π(7.6 m)³ = ½(4/3)π(438.976 m³) = 1/2(1,833.75631 m³) ≈ 916.8782 m³ which rounds to 916.9 m³ to the nearest tenth of a cubic meter.