Final answer:
The volume of the cylinder formed by rolling the rectangular sheet along its length is approximately 2772 cubic cm.
Step-by-step explanation:
The subject of this question is mathematics, specifically the concept of finding the volume of a cylinder. When the rectangular sheet is rolled along its length, the length of the sheet becomes the circumference of the cylinder's base. This allows us to calculate the radius by dividing the circumference (44cm) by 2π.
By using the formula for the circumference of a circle, C=2πr, we can isolate r to get the radius, r = C / 2π = 44cm / 2π. The height of the cylinder is the width of the rectangular sheet, which is 18cm. We then use the formula for the volume of a cylinder, V = πr²h, to calculate the volume.
So the radius r = 44cm / 2π ≈ 7cm, and the height h = 18cm. Substituting these values into the volume formula, we get V = π * (7cm)² * 18cm = 2772 cubic cm.
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