To find the volume of a hemisphere, you can use the formula:
V = (2/3)πr³
where V is the volume and r is the radius of the hemisphere.
Given that the diameter is 48 yards, we can find the radius by dividing the diameter by 2:
r = 48 yards / 2 = 24 yards
Now we can substitute the value of the radius into the formula:
V = (2/3)π(24 yards)³
Calculating this expression:
V ≈ (2/3)π(13824 yards³)
V ≈ (2/3)π(13824) yards³
V ≈ (2/3)(3.14)(13824) yards³
V ≈ 28940.16 yards³
Rounding the volume to the nearest tenth, we get:
V ≈ 28940.2 yards³
Therefore, the volume of the hemisphere is approximately 28940.2 cubic yards