To find the surface area of the cone, we need to calculate the lateral surface area. The formula for the lateral surface area of a cone is given by:
Lateral surface area = π * radius * slant height
First, let's find the radius of the cone. The diameter is given as 14 inches, so the radius is half of the diameter:
radius = 14 / 2 = 7 inches
Next, we need to find the slant height of the cone. The slant height can be calculated using the Pythagorean theorem. The height of the cone is given as 20 inches, and the radius is 7 inches. The slant height (l) can be found as follows:
l = √(r^2 + h^2)
l = √(7^2 + 20^2)
l = √(49 + 400)
l = √449
l ≈ 21.18 inches
Now we can calculate the lateral surface area of the cone using the formula mentioned earlier:
Lateral surface area = π * radius * slant height
Lateral surface area ≈ 3.14 * 7 * 21.18
Lateral surface area ≈ 466.7184
Rounding the answer to the nearest hundred, the surface area of the cone is approximately 467 square inches.
Eli is making a model castle out of clay one of the roof pics is in the shape of a cone with a diameter of 14 in and a swamp of 20 in what is the surface area of the tone Peak round your answer to the nearest hundred use 3.14 for pi
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