To calculate the total surface area of a cone, we need to find the lateral surface area and the base area, and then add them together.
Given that the radius of the cone is 9.6 yd and the slant height is 26.5 yd, we can calculate the lateral surface area using the formula:
Lateral surface area = π * r * l
where r is the radius and l is the slant height.
Lateral surface area = π * 9.6 * 26.5
Lateral surface area ≈ 798.96 square yards
Next, we need to calculate the base area of the cone using the formula:
Base area = π * r^2
Base area = π * 9.6^2
Base area ≈ 289.36 square yards
Therefore, the total surface area of the cone is the sum of the lateral surface area and the base area:
Total surface area = Lateral surface area + Base area
Total surface area ≈ 798.96 + 289.36
Total surface area ≈ 1088.32 square yards
The total surface area of the cone is approximately 1088.32 square yards.
What is the total surface area of the cone? The diagram is not drawn to scale. 26.5yd, 9.6 yd
1 answer