Final answer:
To find the difference in volume between the two cylinders obtained by folding a rectangular sheet of paper, we calculate the volume of each cylinder and find their difference. The difference in volume is 0 cm³.
Step-by-step explanation:
To find the difference between the volumes of two cylinders obtained by folding a rectangular sheet of paper, we need to understand the relationship between the dimensions of the paper and the cylinders. The length and width of the rectangle become the base of each cylinder, while the height of the rectangle becomes the height of each cylinder. Let's calculate the volume of each cylinder and find their difference:
- Given dimensions of the paper: length = 10cm, width = 5cm.
- Volume of the first cylinder: V1 = π * (length/2)^2 * height = π * (10/2)^2 * 5 = 125π cm³.
- Volume of the second cylinder: V2 = π * (width/2)^2 * height = π * (5/2)^2 * 10 = 125π cm³.
- Difference in volume: V2 - V1 = (125π cm³) - (125π cm³) = 0 cm³.
Learn more about Volume of cylinders