Question

if the surface area of two spheres sre in ratio 8:9 what is the ratio of their volume

Answer 1

Answer:

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