Answer:
[tex]SA=48\pi\ ft^2[/tex]
[tex]SA=150.72 ft^2[/tex]
Step-by-step explanation:
we know that
The surface area of a cone is given by the formula
[tex]SA=\pi r^{2}+\pi rl[/tex]
where r is the radius of the base of cone
l is the slant height
we have
[tex]r=8/2=4\ ft[/tex] ---> because the radius is half the diameter
[tex]l=8\ ft[/tex]
substitute
[tex]SA=\pi (4)^{2}+\pi (4)(8)[/tex]
[tex]SA=48\pi\ ft^2[/tex] ----> exact value
assume
[tex]\pi =3.14[/tex]
[tex]SA=48(3.14)=150.72 ft^2[/tex] ----> approximate value
