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
The surface area of a cone is given by the formula:
A = πr(r + √(r^2 + h^2))
where r is the radius of the base and h is the slant height.
Plugging in the given values:
A = 3.14 * 5(5 + √(5^2 + 8^2))
Calculating the square root:
√(5^2 + 8^2) = √(25 + 64) = √89
Plugging in the value of √89:
A = 3.14 * 5(5 + √89)
Calculating the sum inside the brackets:
5 + √89 ≈ 14.94
Plugging in the value of 14.94:
A = 3.14 * 5(14.94)
Calculating the product:
A ≈ 3.14 * 5 * 14.94
A ≈ 234.585
Therefore, the surface area of the cone is approximately 234.6 square meters.