pls answer this for me pls
The ratio of the volumes of 2 spheres is 27:64. if the sum of their radii are 28cm what is the radius of each of them respectively?
Answers
Answered by
3
4/3πr³:4/3πR³=27:64
r³:R³=27:64
r+R=28
∴R=28-r
r³:(28-r)³=27:64
Taking cube roots,
r:(28-r)=3:4
By cross multiplying we get
4 r = 84-3 r
7 r = 84
r = 12 cm
R = 28-r = 28-12=16 cm
iNsAnE666:
question says of 2 spheres each's radius
the volume of 1st sphere is 4/3 pi r3 and the volume of 2nd sphere is 4/3 pi R3
Similar questions