What is the surface area, in square meters, of a cone with a slant height of 8 meters and a radius of 5 meters? Use 3.14 for pi and round to the nearest tenth, if necessary.(1 point)

Question

square meters

Answer 1

The formula for the surface area of a cone is A = πr(r + l), where r is the radius and l is the slant height.

Plugging in the values, we have A = 3.14 * 5(5 + 8).

A = 3.14 * 5 * 13

A = 3.14 * 65

A ≈ 204.1

Therefore, the surface area of the cone is approximately 204.1 square meters.

Answer 2

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.(1 point)
square centimeters

Answer 3

First, we need to convert the given measurements from feet to centimeters since we need the answer in square centimeters.

1 foot = 30.48 centimeters

Diameter = 12 feet * 30.48 centimeters/foot = 365.76 centimeters

Slant height = 14 feet * 30.48 centimeters/foot = 426.72 centimeters

Next, we can use the formula for the surface area of a cone, A = πr(r + l), where r is the radius and l is the slant height.

The radius is half of the diameter, so r = 365.76 centimeters/2 = 182.88 centimeters.

Plugging in the values, we have A = 3.14 * 182.88(182.88 + 426.72).

A = 3.14 * 182.88 * 609.6.

A ≈ 346,878.9504 square centimeters.

Therefore, the surface area of the cone is approximately 346,878.9504 square centimeters.