Question 3 of 10
What is the surface area of the right cone below?
15
A. 126π units²
B. 180π units²
C. 130π units²
D. 540π units²

Question 3 of 10What is the surface area of the right cone below15A 126π unitsB 180π unitsC 130π unitsD 540π units class=


Answer :

Answer:

A) 126π units²

Step-by-step explanation:

Surface Area

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]

Solving the Problem

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.