if the ratio of the radius of two sphere is 3:2. find the ratio of their surface area and volumes.
plz answer step by step
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if the ratio of the radius of two sphere is 3:2. find the ratio of their surface area and volumes.
plz answer step by step
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let the radii be a & b.
a:b = 3:2
or
a/b= 3/2
as surface area is 4πr^2
so ratio of surface areas will be
= 4πa^2/ 4πb^2
= a^2/b^2
= (a/b)^2
= (3/2)^2 = 9/4
as volume is 4/3πr^3
so,
= {4/3πa^3} / {4/3πb^3}
= a^3/b^3
= (a/b)^3
= (3/2)^3 = 27/8