Answer:
A) 126π units²
Step-by-step explanation:
Surface area is the sums up the areas of all the faces of a 3-D shape. Formulas using the lengths of a 3-D shape can be used to simplify the calculation.
The surface area for a cone is
[tex]\pi r l + \pi r^2[/tex],
where r is the radius of the base of the cone and l is the length from the base to the tip of the cone.
[tex]\hrulefill[/tex]
We're given a cone whose radius is 6 and length is 15. Plugging those values into the surface area formula, our answer is
[tex]SA= \pi (6) (15)+ \pi (6)^2=90\pi +36\pi=\boxed{126\pi}[/tex]
or choice A.