we have
radius sphere A
[tex] rA=24\ cm [/tex]
radius sphere B
Divide the diameter by [tex] 2 [/tex]
[tex] rB=\frac{42}{2} =21\ cm [/tex]
we know that
the scale factor is equal to
[tex] scale\ factor=\frac{rB}{rA} \\ \\ scale\ factor=\frac{21}{24} [/tex]
Simplify divide by [tex] 3 [/tex] numerator and denominator
[tex] scale\ factor=\frac{7}{8} [/tex]
therefore
the answer is
The factor is [tex] \frac{7}{8} [/tex]
