round to the nearest tenth, if necessary.

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

3 answers

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

In this case, the radius of the cone is 5 meters and the slant height is 8 meters.

Plugging these values into the formula, we get A = 3.14 * 5(5 + 8) = 3.14 * 5 * 13 = 204.1 meters^2.

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

round to the nearest tenth, if necessary.
To determine the surface area of the cone, we first need to find the radius. The radius is half the diameter, so the radius of the cone is 12/2 = 6 feet.

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

In this case, the radius of the cone is 6 feet and the slant height is 14 feet.

Plugging these values into the formula, we get A = 3.14 * 6(6 + 14) = 3.14 * 6 * 20 = 376.8 square feet.

Therefore, the surface area of the cone is approximately 376.8 square feet.

To convert this to square centimeters, we need to multiply by the conversion factor of 929.03 square centimeters per square foot.

So, the surface area in square centimeters is approximately 376.8 * 929.03 = 350,005.4 square centimeters.

Rounding to the nearest tenth, the surface area in square centimeters is approximately 350,005.4 square centimeters.