What is the surface area of the cone? Use 3.14 for pi.
(1 point)
Responses
3,689.5 square centimeters
3,689.5 square centimeters
2,383.26 square centimeters
2,383.26 square centimeters
1,354.125 square centimeters
1,354.125 square centimeters
863.5 square centimeters
To calculate the surface area of a cone, you need to find the curved surface area and the base area and then add them together.
The curved surface area of a cone is given by the formula A = πrℓ, where r is the radius of the base and ℓ is the slant height of the cone.
The base area of a cone is given by the formula A = πr^2.
So, to find the total surface area, you need to calculate the curved surface area and the base area.
Without knowing the specific measurements of the cone (radius or slant height), it is not possible to determine the exact surface area.
What is the surface area of the cone if the hight is 22 cm the diameter is 25 cm? Use 3.14 for pi.
(1 point)
Responses
3,689.5 square centimeters
3,689.5 square centimeters
2,383.26 square centimeters
2,383.26 square centimeters
1,354.125 square centimeters
1,354.125 square centimeters
863.5 square centimeters
To find the surface area of a cone with a height of 22 cm and a diameter of 25 cm, we first need to find the radius of the base.
The radius is equal to half the diameter, so the radius is 25 cm / 2 = 12.5 cm.
Next, we need to find the slant height (ℓ) of the cone using the Pythagorean theorem.
The slant height can be found using the formula ℓ = √(r^2 + h^2), where r is the radius and h is the height.
ℓ = √(12.5^2 + 22^2) = √(156.25 + 484) = √640.25 ≈ 25.32 cm
Now we can calculate the curved surface area and the base area.
Curved surface area (A curve) = πrℓ = 3.14 * 12.5 * 25.32 ≈ 994.5 square centimeters
Base area (A base) = πr^2 = 3.14 * 12.5^2 ≈ 490.625 square centimeters
Total surface area = A curve + A base = 994.5 + 490.625 = 1,485.125 square centimeters
Therefore, the surface area of the cone is approximately 1,485.125 square centimeters.
To find the surface area of a cone, you need to use the formula:
Surface Area = π * r * (r + l)
Where:
- π is a mathematical constant approximately equal to 3.14
- r is the radius of the base of the cone
- l is the slant height of the cone
First, you need to know the radius and slant height of the cone. Once you have those values, you can substitute them into the formula and calculate the surface area.
Without more information about the cone's dimensions, it is not possible to accurately determine its surface area. Therefore, none of the given options can be considered the correct answer.