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First, we need to find the radius of the cylinder, which is half of the diameter.
Radius: 4 yds / 2 = 2 yds
Next, we can use the formula for the volume of a cylinder, which is V = πr^2h, where r is the radius and h is the height.
Plugging in the values:
V = π(2)^2(3.5)
V = π(4)(3.5)
V = 14Ï€
Approximating π to 3.14:
V ≈ 14(3.14)
V ≈ 43.96
Therefore, the volume of the cylinder is approximately 43.96 cubic yards.