the radius of the distance between the middle point of the circle and the outside, we have the diameter which is 6 so the radius will be 3
slant height is
[tex]\sqrt{r^2+h^2}[/tex]
h is 4.7 and r is 3
[tex]\sqrt{3^2+4.71^2} \\5.58427[/tex]
slant height is 5.58427
lateral surface area
[tex]\pi r\sqrt{h^2+r^2}[/tex]
[tex]\pi (3)\sqrt{4.71^2+3^2} \\52.63053[/tex]
lateral surface area is 52.63053
total surface area
[tex]\pi r(r+\sqrt{h^2+r^2})[/tex]
[tex]\pi 3(3+\sqrt{4.71^2+3^2})[/tex]
[tex]80.90486[/tex]
total surface area is 80.90486
