Find the surface area of a cone with a diameter of 16 inches and a slant height of 9 inches. Use 3.14 for pi.

1 answer

The radius of the cone can be found by dividing the diameter by 2: 16 inches / 2 = <<16/2=8>>8 inches.
The lateral surface area of a cone can be found using the formula: L = π * r * s, where r is the radius and s is the slant height.
Lateral surface area = 3.14 * 8 inches * 9 inches = 226.08 square inches.

The base of the cone is a circle with a radius of 8 inches.
The area of the base can be found using the formula: A = π * r^2.
Base area = 3.14 * (8 inches)^2 = 200.96 square inches.

The total surface area is the sum of the lateral surface area and the base area: 226.08 square inches + 200.96 square inches = <<226.08+200.96=427.04>>427.04 square inches. Answer: \boxed{427.04}.