Question

Which of the following could represent the scale factor of the smaller figure to the larger figure?

4:25
6pi:15pi
8:125
20pi:125pi
16pi:250pi
2:5

Answer 1

6π : 15π

2 : 5

Answer 2

It could be 2:5 or 6pi:15pi

Explanation:

If you write the ratio of the surface area as a fraction, you would get
`(20\pi *yd^(2) )/(125\pi *yd^(2) )`. Simplifying it would leave
`(4)/(25)`. But this is NOT the answer because that is the ratio of the surface area. You have to square root it to find the scale factor. The square root is
`(2)/(5)`. The answers would be 2:5 and 6pi:15pi.