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Surface area of a sphere is 2464 cm2. If its radius is doubled, then the surface area of _________?the new sphere will be

Correct answer: C. 9856 cm2

  • A. 4920 cm2
  • B. 4727 cm2
  • C. 9856 cm2
  • D. 19712 cm2

Explanation

Sphere surface area is proportional to r^2. Doubling the radius makes the surface area four times as large, so the new area is 4 x 2464 cm2 = 9856 cm2. Students may choose 4920 cm2 by roughly doubling the area instead of applying the square relationship.

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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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