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A cylinder is cut lengthwise and flattened, thereby forming a rectangle of dimensions . Find the curved surface area and volume of the original cylinder.

Important Questions on Mensuration
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The radii of the bases of two solid metallic cones of same height are . If the two cones are melted together and recast into a cylinder of height , then show that the radius of the base of the cylinder is .

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A solid metallic cylinder and another solid metallic cone have the same height and the same radius . If the two solids are melted together and recast into a cylinder of radius , prove that the height of the new cylinder is .

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