The radius and height of a solid right circular cone is 8 cm and 15 cm. The total surface area of the cone:-

628.5 cm²

l= slant height

l =  \(\sqrt {r^2 + h^2 }\) = \(\sqrt {8^2 + 15^2}\)

  = \(\sqrt {64 + 225}\) = \(\sqrt {289}\) = 17 cm

Now,

C.S.A. = \(\pi \)rl 

Area of base = \(\pi \)r²

T.S.A. = C.S.A. + area of base

         = \(\pi \)rl + \(\pi \)r²

         =  \(\pi \)r (l + r)

         =  \(\frac{22}{7}\) × 8 × 25

         = \(\frac{4400}{7}\)

         = 628.5 cm²