Question

the ratio of the volume of 2 spheres is 27:8 find the ratio of their surface area

Answer 1

assume that radius of first sphere is R
and radius of second sphere is r

acc to question

volume of first sphere              4$\pi$$R^{3}$/3
---------------------------------  =    -------------------------------------------
volume of second sphere        4$\pi$$r^{3}$/3

27/8=$R^{3}$/$r^{3}$

R/r=3/2

now 

surface area of first sphere                 4$\pi$$R^{2}$
-----------------------------------             =  ------------------------------------------
surface area of second sphere           4$\pi$$r^{2}$

surface area of first sphere                 $R^{2}$    
-----------------------------------             =  -----------------------
surface area of second sphere           $r^{2}$

surface area of first sphere                 $3^{2}$    
-----------------------------------             =  -----------------------
surface area of second sphere           $2^{2}$

surface area of first sphere                 9   
-----------------------------------             =  ----------
surface area of second sphere           4

Answer 2

so answer is 9:4.bye.