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The volume of a cylinder is calculated using the formula V = πr^2h, where r is the radius of the base and h is the height of the cylinder.
In this case, both cylinders have a height of 11.5 m. The first cylinder has a radius of 5 m, while the second cylinder has a radius of 6 m.
Calculating the volume of the first cylinder:
V1 = π(5^2)(11.5) = 887.029 cubic meters
Calculating the volume of the second cylinder:
V2 = π(6^2)(11.5) = 1240.399 cubic meters
Since the volumes of the two cylinders are different (V1 ≠V2), Joseph is correct in believing that the two cylinders have different volumes.