If a cone with a diameter of 14 inches in a site of 20 inches what is the surface area of a cone round your answer to the nearest hundred is 3.14 for pie
First, we need to find the radius of the cone. The diameter is given as 14 inches, so the radius is half of that, which is 7 inches.
Next, we need to find the slant height of the cone. We can use the Pythagorean theorem to do this. The height of the cone is given as 20 inches, and the radius is 7 inches. So, the slant height, l, can be found using the equation l^2 = h^2 + r^2. Plugging in the values, we get l^2 = 20^2 + 7^2 = 400 + 49 = 449. Taking the square root of both sides gives l ≈ 21.19 inches.
Now we can find the surface area of the cone. The formula for the surface area of a cone is A = πr^2 + πrl, where r is the radius and l is the slant height.
Plugging in the values, we get A = 3.14 * 7^2 + 3.14 * 7 * 21.19 ≈ 153.86 + 461.38 ≈ 615.24 square inches.
Rounding to the nearest hundred, the surface area of the cone is approximately 600 square inches.