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Find the ratio of the curved surfaces of two cylinders of same heights if their radii are in the ratio 1:2.

Correct answer: A. 1:2

  • A. 1:2
  • B. 2:1
  • C. 1:4
  • D. 4:1

Explanation

The curved surface area of a cylinder is 2πrh. Since the heights are equal, 2πh is common to both cylinders, so their curved surface areas have the same ratio as their radii: 1:2. The likely wrong choice is 1:4, which applies the square relationship used for areas of circles rather than cylindrical curved surfaces.

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Area measures the surface enclosed by two-dimensional figures, while volume measures the space occupied by three-dimensional solids. Problems use formulas for rectangles, triangles, circles, prisms, cylinders, cones, spheres, and composite figures, including unit conversion and the distinction between surface area, lateral area, and volume.

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