Question
Simplify these paragraphs in a few sentences: The base area of the cone is given by the formula A = πr^2, where r is the radius of the base of the cone. In this case, the diameter is given as 14 inches, so the radius is half of that, or 7 inches. Plugging this into the formula, we get A_base = π * (7 inches)^2 = 49π square inches.
The lateral area of the cone is given by the formula A = πrs, where r is the radius of the base and s is the slant height of the cone. In this case, the slant height is given as 20 inches, and the radius is 7 inches. Plugging these values into the formula, we get A_lateral = π * (7 inches) * (20 inches) = 140π square inches.
Adding the base area and the lateral area together, we get the total surface area of the cone peak: A_total = A_base + A_lateral = 49π + 140π = 189π square inches.
To get a more precise numerical value for the surface area, we can approximate π as 3.14: A_total ≈ 189 * 3.14 = 593.46 square inches
The lateral area of the cone is given by the formula A = πrs, where r is the radius of the base and s is the slant height of the cone. In this case, the slant height is given as 20 inches, and the radius is 7 inches. Plugging these values into the formula, we get A_lateral = π * (7 inches) * (20 inches) = 140π square inches.
Adding the base area and the lateral area together, we get the total surface area of the cone peak: A_total = A_base + A_lateral = 49π + 140π = 189π square inches.
To get a more precise numerical value for the surface area, we can approximate π as 3.14: A_total ≈ 189 * 3.14 = 593.46 square inches
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GPT 3.5
The base area of the cone is found by multiplying the radius squared by pi. In this case, the radius is 7 inches, so the base area is 49π square inches.
The lateral area of the cone is found by multiplying the radius, slant height, and pi. In this case, the radius is 7 inches and the slant height is 20 inches, giving a lateral area of 140π square inches.
Adding the base area and lateral area gives the total surface area of the cone, which is 189π square inches.
Approximating π as 3.14, the approximate numerical value for the surface area is 593.46 square inches.
The lateral area of the cone is found by multiplying the radius, slant height, and pi. In this case, the radius is 7 inches and the slant height is 20 inches, giving a lateral area of 140π square inches.
Adding the base area and lateral area gives the total surface area of the cone, which is 189π square inches.
Approximating π as 3.14, the approximate numerical value for the surface area is 593.46 square inches.