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
The slant height of a cone, the radius, and the height form a right triangle. We can use the Pythagorean theorem to find the height of the cone.
Using the Pythagorean theorem: slant height^2 = height^2 + radius^2
8^2 = height^2 + 5^2
64 = height^2 + 25
height^2 = 39
height = √39 ≈ 6.24 meters
The lateral surface area of a cone can be calculated using the formula: π × radius × slant height.
Lateral surface area = 3.14 × 5 × 8
Lateral surface area ≈ 125.6 square meters
Therefore, the surface area of the cone is approximately 125.6 square meters.