What is the surface area in square meters of cone with slant height of 8 m and a radius of 5 m use 3.44 pi and round to the nearest cents if necessary
To find the surface area of a cone, we need to calculate the sum of the lateral surface area and the base area.
The lateral surface area of a cone is given by the formula: L = πrl, where r is the radius and l is the slant height.
L = 3.44π * 5 * 8 = 137.6π
The base area of a cone is given by the formula: B = πr^2
B = π * 5^2 = 25π
Now, let's calculate the surface area by adding the lateral surface area and the base area:
Surface area = L + B
Surface area = 137.6π + 25π
Surface area = 162.6π
To round to the nearest cent, we can use the approximation π ≈ 3.14:
Surface area ≈ 162.6 * 3.14
Surface area ≈ 510.564 square meters
Therefore, the surface area of the cone is approximately 510.564 square meters.