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If the radius of the sphere is doubled then it's volume is increased by?

Correct answer: C. 700 %

  • A. 100 %
  • B. 200 %
  • C. 700 %
  • D. 800 %

Explanation

Sphere volume is proportional to the cube of its radius. Doubling the radius multiplies the volume by 2^3 = 8, so the increase is 8 - 1 = 7 times the original volume, or 700%. Students often choose 200% by treating volume as directly proportional to radius.

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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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