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If the volume and surface area of a sphere is numerically the same then it's radius is_________?

Correct answer: C. 3 units

  • A. 1 unit
  • B. 2 units
  • C. 3 units
  • D. 4 units

Explanation

For a sphere, volume is 4/3 x pi x r^3 and surface area is 4 x pi x r^2. Equating their numerical values gives 4/3 x pi x r^3 = 4 x pi x r^2, so r/3 = 1 and r = 3 units. The likely mistake is 2 units, which can result from confusing this relation with another sphere formula.

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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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