The volume of two spheres are in the ratio of `64: 27` . The ratio of surface area is

Options

A. `9 : 16`
B. `16 : 9`
C. `3 : 4`
D. `4 : 3`

Answer

B

Explanation

`(4/3piR^3)/(4/3pir^3)=64/27rArr R^3/r^3=64/27rArr (R/r)^3=(4/3)^3rArr R/r=4/3`
Ratio of their suface areas `=(4piR^2)/(4 pir^2)=(R^2)/(r^2)=(R/r)^2=(4/3)^2=16/9= 16:9`