What is the surface area, in square inches, of a cone with a radius of 10 inches and a slant height of 15 inches? Use 3.14 for pi.

1. 2,198 square inches
2. 1,177.5 square inches
3. 785 square inches
4. 471 square inches

1 answer

The formula for the surface area of a cone is given by πrs + πr^2, where r is the radius and s is the slant height.

Given that the radius is 10 inches and the slant height is 15 inches, we can substitute these values into the formula:

Surface area = π(10)(15) + π(10^2)
= 150π + 100π
= 250π

To find the approximate value, we can substitute 3.14 for π:
Surface area ≈ 250(3.14)
≈ 785 square inches

Therefore, the correct answer is 3. 785 square inches.