Find the surface area of the cone. Use 3.14 for pi. The diameter is 8in and the height is 7in please help asap!! And thank you for your time. Ms.Sue?

Ms.Sue?? Writetecher?

To find the surface area of a cone, you need to use the formula:

Surface Area = π * r * (r + l)

where π is the value of pi, r is the radius of the base, and l is the slant height of the cone.

First, let's find the radius, which is half of the diameter.
Given that the diameter is 8 inches, divide it by 2 to find the radius:

Radius = 8 inches / 2 = 4 inches.

Next, let's find the slant height (l) using the Pythagorean theorem:

l = √(r^2 + h^2)

where r is the radius and h is the height.

In this case, r = 4 inches and h = 7 inches, so plug these values into the equation:

l = √(4^2 + 7^2)
l = √(16 + 49)
l = √65
l ≈ 8.06 inches (rounded to two decimal places).

Now that we have the radius (r) and the slant height (l), we can substitute these values into the surface area formula:

Surface Area = 3.14 * 4 * (4 + 8.06)
Surface Area = 3.14 * 4 * 12.06
Surface Area ≈ 151.69 square inches (rounded to two decimal places).

Therefore, the surface area of the cone is approximately 151.69 square inches.