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.
- 48 ft2
- 144 ft2
- 432 ft2
- 32 ft2
Hint:
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
= 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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