Question

Surface area of 2 spheres
are in the ratio
8:9 then find the ratio
of
their volume​

Answer 1

Answer:

Explanation:

The ratio of their surface areas = 8:9

                                                         8x and 9x

then 4πr²/4πR²=8/9

       r²/R²=8/9

       r/R = 2√2 / 3

r = 2√2 y

R = 3y

Ratio of volumes = 4/3πr³ / 4/3πR³

                             = r³ / R³

                             = (2√2)³/3³

                             = 16√2 / 27

                             = 16√2 : 27