Given:
The radius of the base of the given cone = 5 cm
The slant height of the cone = 19 cm
To find the surface area of the given cone.
Formula
The surface area pf the given cone is,
[tex]SA = \pi rl+\pi r^{2}[/tex]
where, r be the radius and
l be the slant height.
Now,
Taking, r = 5, l = 19 and π = 3.14 we get,
[tex]SA = (3.14)(5)(19)+(3.14)(5^2)[/tex] sq cm
or, [tex]SA = 298.3+78.5[/tex] sq cm
or, [tex]SA = 376.8[/tex] sq cm
Rounding off to the nearest square centimeter, we get;
[tex]SA=377 \ cm^2[/tex]
Hence,
The surface area of the cone is 377 sq cm.