Question

the radius ofa sphere isdoubled ,then the ratii of the volume of thefirstsphere to that of the second ?

Answer 1

the new sphere is 8x voluminous than the original sphere

Answer 2

Answer:

let the original radius be r

so the original volume = 4/3πr³

new radius = 2r

so new volume = 4/3π (2r)³ = 4/3 π (8r³)

ratio = 4/3πr³/4/3π (8r³)

       = r³ / 8r³ = 1/8  

so the ratio is 1:8