1. Find the lateral area of a cone with a radius of 7 ft. and a slant height of 13 ft. Use 3.14 for n (1 point and round to the nearest tenth.
To find the lateral area of a cone, you need to use the formula:
Lateral Area = π * radius * slant height
Given that the radius of the cone is 7 ft and the slant height is 13 ft, you can substitute these values into the formula:
Lateral Area = 3.14 * 7 ft * 13 ft
Calculating this:
Lateral Area = 3.14 * 91 ft^2
To get the final answer rounded to the nearest tenth, you can perform the calculation:
Lateral Area ≈ 285.34 ft^2
Therefore, the lateral area of the cone, rounded to the nearest tenth, is approximately 285.3 ft^2.
To find the lateral area of a cone, you need to determine the circumference of the base and multiply it by the slant height.
1. Calculate the circumference of the base using the radius and the value of pi (π).
Circumference = 2 * π * radius
Circumference = 2 * 3.14 * 7 ft
Circumference = 43.96 ft (rounded to the nearest hundredth)
2. Multiply the circumference by the slant height to get the lateral area.
Lateral Area = Circumference * slant height
Lateral Area = 43.96 ft * 13 ft
Lateral Area = 571.48 ft² (rounded to the nearest tenth)
So, the lateral area of the cone is approximately 571.5 ft².