Respuesta :

Answer:

587.18 in^2

Step-by-step explanation:

Given:

Diameter = d = 11 inches

Slant height = l =28.5 inches

Radius will be half of diameter

r = d/2 = 11/2 = 5.5 in

We know that the formula for surface area of cone is:

[tex]SA = \pi rl+\pi r^2\\Putting\ the\ values\\SA = (3.14*5.5*28.5)+(3.14 * 5.5 * 5.5 )\\= 492.195+94.985\\=587.18\ in^2[/tex]

Hence, second option is correct ..

Answer: second option.

Step-by-step explanation:

We know that we can calculate the surface area of a cone with this formula:

[tex]SA=\pi rl + \pi r^2[/tex]

Where "r" is the radius and "l" is the slant heigth.

We know that the radius is half the diameter, then the radius of this cone is:

[tex]r=\frac{11in}{2}\\\\r=5.5in[/tex]

Since we know tha radius and the slant height, we can substitute values into the formula, using 3.14 for π.

Therefore, we get:

 [tex]SA=(3.14)(5.5in)(28.5in) + (3.14)(5.5in)^2=587.18in^2[/tex]