Use the image to answer the question.
A cone shows a base diameter of 25 centimeters, perpendicular height from the base to the top vertex at 90 degrees, and 22 centimeters as the hypotenuse or the side of the cone.
What is the surface area of the cone? Use 3.14 for pi.
(1 point)
Responses
2,383.26 square centimeters
2,383.26 square centimeters
3,689.5 square centimeters
3,689.5 square centimeters
1,354.125 square centimeters
1,354.125 square centimeters
863.5 square centimeters
To find the surface area of a cone, you can use the formula:
Surface area = π * r * (r + s)
Where r is the radius of the base and s is the slant height.
In this case, the hypotenuse of the cone is the slant height, so s = 22 cm.
The base diameter is given as 25 cm, so the radius can be found by dividing the diameter by 2: r = 25/2 = 12.5 cm.
Now, plug in the values into the formula:
Surface area = 3.14 * 12.5 * (12.5 + 22)
Surface area = 3.14 * 12.5 * 34.5
Surface area ≈ 1345.125 square centimeters
So, the correct answer is 1,354.125 square centimeters.