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The curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m3. Find the ratio of its diameter to its height.

Correct answer: B. 7 : 3

  • A. 3 : 7
  • B. 7 : 3
  • C. 6 : 7
  • D. 7 : 6Downloading Interactive Party Trivia Games

Explanation

Using curved surface area 2πrh = 264 m2 and volume πr^2h = 924 m3, division gives r/2 = 924 m3 ÷ 264 m2 = 3.5 m, so r = 7 m. Then 2π(7 m)h = 264 m2 gives h = 6 m, and the diameter-to-height ratio is 14 m : 6 m = 7 : 3. The likely wrong option is 3 : 7, which reverses the requested ratio.

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About Area and Volume

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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