To calculate the lateral area of a cone, you can use the formula:
Lateral area = πrs
Where r is the radius of the cone's base and s is the slant height of the cone.
Given that the radius of the cone is 14 and the slant height is 27, the lateral area can be calculated as:
Lateral area = π(14)(27) ≈ 1193.0 square units
To calculate the surface area of the cone, you can use the formula:
Surface area = πr(r + s)
Given the same values for radius and slant height, the surface area can be calculated as:
Surface area = π(14)(14 + 27) ≈ 1087.4 square units
Therefore, the lateral area of the cone is approximately 1193.0 square units and the surface area is approximately 1087.4 square units.
What are the lateral area and the surface area of the cone shown below? Round the answers to the nearest tenth. The figure is not drawn to scale.
a cone 14 27
(1 point)
1 answer
1 answer