what is the surface area, in square inches, of a cone with the radius of 10 inches in a slight height of 15? Use 3.144 for pi.
1. 471 square inches.
2. 1177.5 square inches
3. 785 square inches.
4. 2198 square inches.
The surface area of a cone can be found using the formula:
Surface Area = π * r * (r + √(r^2 + h^2))
Where r is the radius and h is the height of the cone.
Plugging in the given values, we have:
Surface Area = 3.144 * 10 * (10 + √(10^2 + 15^2))
Surface Area = 3.144 * 10 * (10 + √(100 + 225))
Surface Area = 3.144 * 10 * (10 + √(325))
Surface Area = 3.144 * 10 * (10 + 18.028)
Surface Area = 3.144 * 10 * 28.028
Surface Area ≈ 880.911
Therefore, the surface area of the cone is approximately 880.911 square inches. None of the given answer choices are correct.