Answer:
[tex]SA=2,512\ m^2[/tex]
Step-by-step explanation:
we know that
The surface area of the cone is equal to
[tex]SA=\pi r^{2}+\pi rl[/tex]
where
r is the radius
l is the slant height
we have
[tex]r=32/2=16\ m[/tex] ----> the radius is half the diameter
[tex]l=34\ m[/tex]
[tex]\pi =3.14[/tex]
substitute the values in the formula
[tex]SA=(3.14)(16)^{2}+(3.14)(16)(34)[/tex]
[tex]SA=803.84+1,708.16[/tex]
[tex]SA=2,512\ m^2[/tex]
