Answer:
7068.58 ydÂł
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=dĂ·2
r = 30 ydĂ·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 = 13500Ď€ ydÂł Ă· 3
V = 4500Ď€ ydÂł
Next, we need to find the volume of the dome by dividing by 2.
V = 4500Ď€ ydÂł Ă· 2
V = 2250Ď€ ydÂł
V = 7068.58 ydÂł
The total volume of the dome is 7068.58 ydÂł