Respuesta :

creeds25
Formula for surface area of cone:
[tex]A= \pi r(r+ \sqrt{h^2+r^2} )[/tex]
Here Radius, r= 6 units
To find the height of cone, we use Pythagorean theorem.
c²=a²+b²
Put values
15²=6²+h²
225=36+h²
h²=189
Put values in formula.
A=6π(6+√189+36)
A=6π+(6+√225)
A=6π(6+15)
A=126π units²

Answer:

Te correct option B.

Step-by-step explanation:

The surface area of a cone is

[tex]A=\pi r(r+l)[/tex]

Where, r is the radius and l is slant height.

From the given figure it is noticed that the radius of the cone is 6 and slant height is 15.

The surface area of cone is

[tex]A=\pi \times 6\times (6+15)[/tex]

[tex]A=\pi \times 6\times 21[/tex]

[tex]A=126\pi[/tex]

The area of the cone is 126π units². Therefore option B is correct.

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