What is the surface area, in square centimeters, of a cone with a diameter of 12 feet and a slant height of 14 ft? Use 3.14 for pi and round to the nearest tenth, if necessary.(1 point)

Answer 1

First, we need to convert the diameter and slant height from feet to centimeters.

1 foot = 30.48 cm

Diameter: 12 feet = (12 ft)(30.48 cm/ft) = 365.76 cm

Slant height: 14 feet = (14 ft)(30.48 cm/ft) = 426.72 cm

Now, we can calculate the radius of the cone:

Radius = Diameter/2 = 365.76 cm / 2 = 182.88 cm

Next, we can calculate the surface area of the cone:

Surface Area = πr(r + l), where r is the radius and l is the slant height.

Surface Area = 3.14(182.88)(182.88 + 426.72)
Surface Area = 3.14(182.88)(609.6)
Surface Area = 3.14(111687.008)
Surface Area ≈ 351120.2 cm²

Therefore, the surface area of the cone is approximately 351120.2 square centimeters.