length and breadth of a paper is 33 cm and 16 cm respectively. It is folded about its breadth to form a cylinder. Find the volume of the cylinder.
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The volume of the cylinder is 672 cm³.
- The length and breadth of the paper is 33 cm and 16 cm respectively.
- Now, the paper is folded around its breadth to form a cylinder.
- Therefore, the circumference of the base of a cylinder is equal to the breadth of the paper and the height of the cylinder will be equal to the length of the paper.
Circumference = 2πr
16 = 2×(22/7)×r
r = (28/11) cm
- Now, volume of the cylinder is given by
Volume of cylinder = πr²h
- Substituting the values r = (28/11) cm and h = 33 cm in the formula, we get
Volume = (22/7)×(28/11)²×33
Volume of the cylinder = 67 cubic cm.
- Volume of the cylinder is 67 cubic cm.
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