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

Correct answer: C. 1:8

  • A. 3:4
  • B. 9:16
  • C. 1:8
  • D. 4:3

Explanation

Sphere volume is proportional to the cube of its diameter. With diameters in the ratio 1:2, the volume ratio is 1^3:2^3 = 1:8. The likely mistake is 9:16, which applies the square relationship used for surface area instead of the cubic relationship for volume.

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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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