Question 970616
The area of a cone is pi*r^2 + pi *r* l, where l is the slant height.

The diameter is 8 cm, and the radius is 4 cm.

Area is 164 pi cm^2  (it can't be cubed, because that is volume).  

Therefore, 
164 cm^2* pi =pi * 16 cm^2 + pi *4cm*l
Divide all terms by pi

164 cm^2= 16 cm^2 + 4cm* l   
subtract 16 cm^2 from both sides

148 cm^2= 4cm * l
Divide by 4 cm both sides

37 cm =l

Slant height is 37 cm.

SA= pi *r  (r+l)  check
164 pi = pi *4 (4+37)
pi cancels both sides

164=4 * 41

164=164