In order to find the surface area of a cone we can use the next formula
[tex]SA=\pi r\mleft(r+l\mright)[/tex]
where r is the radius and l is the slant height
In our case
r=4 units
l=10 units
pi=3.14
[tex]SA=(3.14)(4)(4+10)=175.8\text{ in}^2[/tex]
The surface area of the cone rounded to the nearest tenth is 175.8 in^2, therefore the correct choice is D.
