At a farm, animals are fed bales of hay and buckets of grain. Each bale of hay is in the shape of a rectangular prism. The base has side lengths 2 feet and 3 feet, and the height is 5 feet. Each bucket of grain is a cylinder with a diameter of 3 feet. The height of the bucket is 5 feet, the same as the height of the bale.
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Which is larger in area, the rectangular base of the bale or the circular base of the bucket? Explain how you know.
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Which is larger in volume, the bale or the bucket? Explain how you know.