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The areas of the two spheres are in the ratio 1: 4. The ratio of their volume is?

Correct answer: C. 1:8

  • A. 1:4
  • B. 1:16
  • C. 1:8
  • D. 1:64

Explanation

Sphere area is proportional to r², so an area ratio of 1:4 gives a radius ratio of 1:2. Sphere volume is proportional to r³, therefore the volume ratio is 1³:2³ = 1:8. The likely wrong choice is 1:4, which copies the area ratio without converting it to a volume 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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