Question 508922
Find the surface area of a right circulr cone: 
Note:
The "lateral surface" area (S) of a cone does not include the area of the base.
The "total surface" (T) area of a cone included the area of the base.
Let's do both and you can choose which anwer is appropriate.
1) Lateral surface area (area of base not included) is:
{{{S = pi*r*s}}} where: r is the radius of the base and s is the slant height.
{{{S = pi*5*12}}}
{{{S = 60*pi}}} sq.in. This is the exact answer.
{{{S = 188.4}}} sq.in. This an approximate answer. (I just multiplied by 3.14 for {{{pi}}}.
2) Total surface area (area of base is included) is:
{{{T = pi*r(r+s)}}} where: r is the radius of the base and s is the slant height.
{{{T = pi*5(5+12)}}}
{{{T = pi*5(17)}}}
{{{T = 85*pi}}} sq.in. This is the exact answer.
{{{T = 266.9}}} sq.in. This an approximate answer. (I just multiplied by 3.14).