Question

Sphere A has a radius of 24 centimeters, and sphere B has a diameter of 42 centimeters. The radius of sphere A is multiplied by what factor to produce the radius of sphere B?

Answer 1

7/8

Explanation:

got 100%

Answer 2

we have

radius sphere A

`rA=24\ cm`

radius sphere B

Divide the diameter by
`2`

`rB=(42)/(2) =21\ cm`

we know that

the scale factor is equal to

`scale\ factor=(rB)/(rA) \\ \\ scale\ factor=(21)/(24)`

Simplify divide by
`3` numerator and denominator

`scale\ factor=(7)/(8)`

therefore

the answer is

The factor is
`(7)/(8)`