Mathematics
Grade9
Easy

Question

Two spheres have a scale factor ratio of 1 : 3. The smaller sphere has a surface area of 16 ft2 Find the surface area of the larger sphere.

  1. 48 ft2    
  2. 144 ft2    
  3. 432 ft2    
  4. 32 ft2    

hintHint:

Two figures are said to be similar if they are the same shape.

The correct answer is: 144 ft2


    Ratios of the areas = a2 : b2
    equals fraction numerator 16 over denominator text  S.A of larger sphere  end text end fraction equals fraction numerator 1 to the power of 2 end exponent over denominator 3 to the power of 2 end exponent end fraction
    = 144
    Hence, the correct option is D.

    A sphere is a geometrical object that is a three-dimensional analogue to a two-dimensional circle. A sphere is the set of points that are all at the same distance r from a given point in three-dimensional space. That given point is the centre of the sphere, and r is the sphere's radius.

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