Explanation:
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To solve this problem, we need to recall the formulas for finding the area of a rectangle, the area of a circle, and the volume of a rectangular prism and a cylinder.
Area of a rectangle: A = l × w
Area of a circle: A = π × r^2
Volume of a rectangular prism: V = l × w × h
Volume of a cylinder: V = π × r^2 × h
where l is the length, w is the width, h is the height, r is the radius, and π is the constant pi (approximately 3.14).
Given the dimensions of the bale of hay and the bucket of grain, we can calculate:
The area of the rectangular base of the bale of hay: A = l × w = 2 ft × 3 ft = 6 square feet
The area of the circular base of the bucket of grain: A = π × r^2 = π × (1.5 ft)^2 = 7.07 square feet (rounded to two decimal places)
The volume of the bale of hay: V = l × w × h = 2 ft × 3 ft × 5 ft = 30 cubic feet
The volume of the bucket of grain: V = π × r^2 × h = π × (1.5 ft)^2 × 5 ft = 35.34 cubic feet (rounded to two decimal places)
Therefore, the area of the rectangular base of the bale is 6 square feet, the area of the circular base of the bucket is 7.07 square feet, the volume of the bale is 30 cubic feet, and the volume of the bucket is 35.34 cubic feet right??