the volume of two spheres are in he ratio 64:27. find their radii if their sum is 42cm.
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Hey!!!!......here is ur answer
let the volume of first sphere=4/3 (pi r1^3)
the volume of second sphere=4/3 (pi r2^3)
according to the question...
4/3 (pi r1^3)/4/3 (pir2^3)=64/27
r1^3/r2^3=64/27
r1/r2=4/3
3r1=4r2
now r1+r2=42 is given
so.
3r1+3r2=126
4r2+3r2=126
r2=126/7
r2=18 cm........
now from r1+r2=42
r1=42-18
r1=24 cm.......
I HOPE IT WILL HELP YOU ☺
let the volume of first sphere=4/3 (pi r1^3)
the volume of second sphere=4/3 (pi r2^3)
according to the question...
4/3 (pi r1^3)/4/3 (pir2^3)=64/27
r1^3/r2^3=64/27
r1/r2=4/3
3r1=4r2
now r1+r2=42 is given
so.
3r1+3r2=126
4r2+3r2=126
r2=126/7
r2=18 cm........
now from r1+r2=42
r1=42-18
r1=24 cm.......
I HOPE IT WILL HELP YOU ☺
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