Question 1062609
<pre>
Sorry, that's not enough information.

You must also know the ratio of the heights of the two cones.
Just knowing the ratio of the radii is not enough. 

The problem could be done if you knew the two cones had the
same shape, but you aren't told that.

{{{drawing(200,125,-7,9,-2,8,
red(line(-3.5,0,-1,0),line(4.5,0,8,0)),
line(-6,0,-3.5,7),line(-1,0,-3.5,7),arc(-3.5,0,5,-2),green(line(-3.5,7,-3.5,0)),

line(1,0,4.5,2),line(8,0,4.5,2),arc(4.5,0,7,1),green(line(4.5,2,4.5,0))

 )}}}        {{{drawing(200,125,-7,9,-2,8,
red(line(-3.5,0,-1,0),line(4.5,0,8,0)),

line(-6,0,-3.5,2),line(-1,0,-3.5,2),arc(-3.5,0,5,1),green(line(-3.5,2,-3.5,0)),

line(1,0,4.5,7),line(8,0,4.5,7),arc(4.5,0,7,2),green(line(4.5,7,4.5,0))

 )}}}

Look at the two cones on the left. The radii (in red) of those two cones are 
in the ratio 5:7.

Look at the two cones on the right. The radii of those two cones are 
ALSO in the ratio 5:7.

It should now be obvious to you that the ratios of the surface areas
and volumes of the two cones on the left are quite different from the
ratios of the surface areas and volumes of the two cones on the right.
Some cones are tall and skinny, some are short and fat, some are short
and skinny, and some are tall and fat.

If you were only given information about their radii and nothing about
their heights or shapes, then be sure to point this out to your teacher,
for that is NOT enough information to answer the questions. 

Edwin</pre>