Question

If the surface area of two spheres are in ratio 9:16 then find the ratio of their volume?

Answer 1

here

radius of two sphere be a and b

now

according to question

4πa^2/4πb^2=9/16

or,a^2/b^2=9/16

a/b=3/4

now

volume of sphere=4πr^3/3

ratio of their volume =(4πa^3/3)/(4πb^3/3)

=a^3/b^3

=(a/b)^3

=(3/4)^3

=27/64

Answer 2

Step-by-step explanation:

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