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

4 answers

To find the surface area of the cone, we need to find the lateral surface area and the base area separately and then add them together.

The lateral surface area of a cone can be found using the formula A = πrs , where r is the radius of the base and s is the slant height.

Since the diameter is given as 12 feet, the radius is half of that, which is 6 feet.

The lateral surface area is then A = 3.14(6)(14) = 263.04 square feet.

To find the base area, we use the formula A = πr^2.

The radius is still 6 feet, so the base area is A = 3.14(6)^2 = 113.04 square feet.

Now we can find the total surface area by adding the lateral surface area and the base area:

263.04 + 113.04 = 376.08

Therefore, the surface area of the cone is 376.08 square feet.
wrong
yeah wrong
The answer is 376.8