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. 204.1
2. 376.8
3. 320.3
4. 37.68
5. 75.36
ALL THE ANSWERS ARE HERE!! :3
To find the surface area of a cone, we use the formula:
Surface Area = πr(r+√(r^2+h^2)), where r is the radius and h is the slant height.
Given that the radius is 5 meters and the slant height is 8 meters, we can substitute these values into the formula:
Surface Area = 3.14 * 5(5 + √(5^2 + 8^2))
Calculating further:
Surface Area = 3.14 * 5(5 + √(25 + 64))
Surface Area = 3.14 * 5(5 + √(89))
Surface Area = 3.14 * 5(5 + 9.43)
Surface Area = 3.14 * 5 * 14.43
Surface Area = 3.14 * 72.15
Surface Area = 226.701
Rounding to the nearest tenth, the surface area of the cone is approximately 226.7 square meters.
Therefore, the closest option provided is 204.1, none of the options given are correct, and the correct answer is not listed.