The first step is to convert the diameter to radius. Given that the diameter is 12 feet, the radius would be half of that, which is 12/2 = <<12/2=6>>6 feet.
Next, we calculate the slant height using the formula s = sqrt(r^2 + h^2), where r is the radius and h is the height. Since we don't know the height, we can use the similar triangles property to find it. We can create a right triangle with the radius as the base, the slant height as the hypotenuse, and the height as the other leg. Using Pythagorean theorem, we know that (h^2) = (s^2) - (r^2).
Plugging in the values, we get (h^2) = (14^2) - (6^2) = 196 - 36 = 160.
Taking the square root of both sides yields h = sqrt(160) = 12.65 feet (rounded to the nearest hundredth).
Now, to find the lateral surface area of the cone, we use the formula A = πrl, where r is the radius and l is the slant height.
Substituting the values, we get A = 3.14(6)(14) = 263.04 square feet (rounded to the nearest hundredth).
To convert this to square centimeters, we recall that 1 square foot is equal to 929.03 square centimeters. Therefore, the surface area is 263.04 * 929.03 = 244,305.67 square centimeters (rounded to the nearest hundredth). Answer: \boxed{244,305.67}.
What is the surface area, in square centimeters, of a cone with diameter of 12 feet and a slant height of 14 feet? Use 3.14 for pi and round to the nearest tenth, if necessary.
5 answers
wrong. try again.
what is the surface area of a cone with a diameter of 12 feet and a slant of 14 feet. round to the nearest tenth. use pi.
what is the surface area of a cone with a diameter of 12 feet and a slant of 14 feet. round to the nearest tenth. use pi.
To find the surface area of a cone, we need to calculate the sum of the lateral surface area (the curved surface) and the base area.
First, let's find the radius of the cone. The diameter is given as 12 feet, so the radius would be half of that, 12/2 = 6 feet.
Next, we can find the lateral surface area using the formula A = πrs, where r is the radius and s is the slant height.
Plugging in the values, we have A = 3.14 * 6 * 14 = 263.52 square feet (rounded to the nearest hundredth).
The base of the cone is a circle, so we can find its area using the formula A = πr^2, where r is the radius.
Plugging in the radius of 6 feet, we have A = 3.14 * (6^2) = 113.04 square feet (rounded to the nearest hundredth).
To find the total surface area, we add the lateral surface area and the base area: 263.52 + 113.04 = 376.56 square feet (rounded to the nearest hundredth).
Therefore, the surface area of the cone is approximately 376.6 square feet. Answer: \boxed{376.6}.
First, let's find the radius of the cone. The diameter is given as 12 feet, so the radius would be half of that, 12/2 = 6 feet.
Next, we can find the lateral surface area using the formula A = πrs, where r is the radius and s is the slant height.
Plugging in the values, we have A = 3.14 * 6 * 14 = 263.52 square feet (rounded to the nearest hundredth).
The base of the cone is a circle, so we can find its area using the formula A = πr^2, where r is the radius.
Plugging in the radius of 6 feet, we have A = 3.14 * (6^2) = 113.04 square feet (rounded to the nearest hundredth).
To find the total surface area, we add the lateral surface area and the base area: 263.52 + 113.04 = 376.56 square feet (rounded to the nearest hundredth).
Therefore, the surface area of the cone is approximately 376.6 square feet. Answer: \boxed{376.6}.
wrong. try again.
what is the surface area of a cone with a diameter of 12 feet and a slant of 14 feet. round to the FINAL ANSWER ONLY to the nearest tenth. use pi.
what is the surface area of a cone with a diameter of 12 feet and a slant of 14 feet. round to the FINAL ANSWER ONLY to the nearest tenth. use pi.
To find the surface area of a cone, we need to calculate the sum of the lateral surface area (the curved surface) and the base area.
First, let's find the radius of the cone. The diameter is given as 12 feet, so the radius would be half of that, 12/2 = 6 feet.
The lateral surface area of a cone can be calculated using the formula A = πrℓ, where r is the radius and ℓ is the slant height.
Plugging in the values, we have A = 3.14 * 6 * 14 = 263.52 square feet.
The base of the cone is a circle, so we can find its area using the formula A = πr^2, where r is the radius.
Plugging in the radius of 6 feet, we have A = 3.14 * (6^2) = 113.04 square feet.
To find the total surface area, we add the lateral surface area and the base area: 263.52 + 113.04 = 376.56 square feet.
Rounding to the nearest tenth, the surface area of the cone is approximately 376.6 square feet.
Therefore, the surface area of the cone is approximately 376.6 square feet. Answer: \boxed{376.6}.
First, let's find the radius of the cone. The diameter is given as 12 feet, so the radius would be half of that, 12/2 = 6 feet.
The lateral surface area of a cone can be calculated using the formula A = πrℓ, where r is the radius and ℓ is the slant height.
Plugging in the values, we have A = 3.14 * 6 * 14 = 263.52 square feet.
The base of the cone is a circle, so we can find its area using the formula A = πr^2, where r is the radius.
Plugging in the radius of 6 feet, we have A = 3.14 * (6^2) = 113.04 square feet.
To find the total surface area, we add the lateral surface area and the base area: 263.52 + 113.04 = 376.56 square feet.
Rounding to the nearest tenth, the surface area of the cone is approximately 376.6 square feet.
Therefore, the surface area of the cone is approximately 376.6 square feet. Answer: \boxed{376.6}.
1 answer