To calculate the surface area of a cone we can use the following formula:
[tex]S=\pi r^2+\pi Lr[/tex]
where r represents the radius of the base and L represents the slant height.
The radius of our cone is 7cm and the slant height 19cm, using those values on the formula we have our answer:
[tex]S=\pi(7)^2+\pi(19)(7)=49\pi+133\pi=182\pi\approx571.8[/tex]
The surface area of this cone is 571.8 cm².
