When two identical cones are joined base to base, the total surface area of new solid becomes equal to the sum of curved surface areas of both the cones.
So, total surface area of solid = πrl+πrl=2πrl
In two cones, r=8cm,h=15cm
Now, l2=r2+h2=82+152=64+225=289
⇒l2=(17)2
⇒l=17cm
∴ Total surface area of solid = 2πrl
=2×π×8×17
=272πcm2
=854.857cm2
Hence, the surface area of new solid =854.857cm2.