Question

If volumes of two spheres are in the ratio 64:27 then the ratio of their surface areas is

Answer 1

`V=4/3pir^3`
`V_1/V_2=(4/3pir_1^3)/(4/3pir_2^3)=64/27`
`r_1^3/r_2^3=4^3/3^3`
`r_1/r_2=4/3`
`SA=4pir^2`
`(SA_1)/(SA_2)=(4pir_1^2)/(4pir_2^2)=(r_1/r_2)^2`
`(4/3)^2=16/9`
option d is correct