Which terms could have a greatest common factor of 5m2n2? . a) m5n5 b) 5m4n3 c) 10m4n d) 15m2n2 e) 24m3n4

5m^4n^3

15m^2n^2

Step-by-step explanation:

Given :GCF is  

m^5 n^5 : there is no 5 so GCF is not 5m^2n^2

5m^4n^3: GCF m^2, exponent 2 is less than exponent 4 . also GCf n^2 , exponent 2 is less than exponent 3. So GCf is 5m^2 n^2

10m^4n: GCF n^2 , exponent 2 is greater than exponent 1. so it does not have GCF

15m^2n^2 : 15 is 3*5 . so it has GCf is 5 m^2n^2

24m^3n^4: 24 is 3*2*2*2 . it does not have 5 . so GCF is not 5m^2n^2

(a) the volume of the cone is 20/3 in3

hence, option a is correct.