Mathematics

Grade9

Easy

Question

# Two spheres have a scale factor ratio of 1 : 3. The smaller sphere has a surface area of 16 ft^{2} Find the surface area of the larger sphere.

- 48 ft
^{2}
- 144 ft
^{2}
- 432 ft
^{2}
- 32 ft
^{2}

^{2}^{2}^{2}^{2}Hint:

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

## The correct answer is: 144 ft^{2}

### Ratios of the areas = a^{2} : b^{2}

= 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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