Finding the volume and surface area of a cone without radius?? Help please!

[hanscuit]

Hello,
Im having a hard time finding the volume/surface area of this cone because I'm used to working with a slant height and a radius but I only have this random angle at the top and the slant height. I don't know where to begin, I'm in the 9th grade and my teacher hasn't gone over this type of problem. I need to find the surface area and volume, please help ive been stuck for 45 minutes on this im just completely lost.
Thank you very much whoever helps.

 

[Deleted member 4993]

I am not used to these sorts of problems in terms of finding the volume and surface area of a cone only given the random angle degree at the top and the slant height?? Like, i have no clue how to start, im used to being given the radius, and height, please explain what I need to do...

Drop a perpendicular to the base of the cone from the apex. Now invoke definition of sine of an angle .....