Answer:
7068.58 yd³
Step-by-step explanation:
A half sphere would use the normal equation for the volume of a sphere and then divide it by two. The first step would be to find the radius of the sphere, which is half the diameter.
d=30 yd
r=d÷2
r = 30 yd÷2
r = 15 yd
Next, we need to use the volume of a sphere equation to find the volume of the full sphere.
V = 4×π×r³÷3
V = 4×π×15 yd³÷3
V = 4×π×3375 yd³÷ 3
V = 13500π yd³ ÷ 3
V = 4500π yd³
Next, we need to find the volume of the dome by dividing by 2.
V = 4500π yd³ ÷ 2
V = 2250π yd³
V = 7068.58 yd³
The total volume of the dome is 7068.58 yd³
