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The diameters of two spheres are in the ratio 1:2 what is the ratio of their surface area?

Correct answer: B. 1:4

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

Explanation

The surface area of a sphere is proportional to the square of its diameter. Therefore, diameters in the ratio 1:2 give surface areas in the ratio 1^2:2^2 = 1:4. The likely wrong choice is 1:2, which treats surface area as directly proportional to diameter.

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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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