surface area of two sphere are in the ratio of 36:25. FIND THE ratio of their volume and difference of their radii is 4cm find the radius of each sphere
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surface area of sphere = 4πr^2
let r1 ,r2 be the two radii
then a/q , 4πr1^2/4πr2^2=36/25
so, r1^2/r2^2=36/25
so, r1/r2=6/5
so , r1=6/5 r2........(1st eqn)
so , as volume = 4/3πr^3
so, ratio of their volume will be r1^3/r2^3=(6/5r2^3)/r2^3=6^3/5^3=216/125 ans
Also given that r1-r2=4 so r1=4+r2.....(2nd eqn)
from 1 and 2 , we get
6/5 r2=4+ r2
so 1/5r2=4
so r2=20 cm
so r1=4+20=24cm
let r1 ,r2 be the two radii
then a/q , 4πr1^2/4πr2^2=36/25
so, r1^2/r2^2=36/25
so, r1/r2=6/5
so , r1=6/5 r2........(1st eqn)
so , as volume = 4/3πr^3
so, ratio of their volume will be r1^3/r2^3=(6/5r2^3)/r2^3=6^3/5^3=216/125 ans
Also given that r1-r2=4 so r1=4+r2.....(2nd eqn)
from 1 and 2 , we get
6/5 r2=4+ r2
so 1/5r2=4
so r2=20 cm
so r1=4+20=24cm
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