Hey Bot I need help
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)
1,354.125 square centimeters
1,354.125 square centimeters
863.5 square centimeters
863.5 square centimeters
3,689.5 square centimeters
3,689.5 square centimeters
2,383.26 square centimeters
To find the surface area of the cone, we can use the formula:
Surface Area = π * r * (r + l)
Where:
- π is the value of pi (approximately 3.14)
- r is the radius of the base (half of the diameter)
- l is the slant height of the cone
Given that the base diameter is 25 centimeters, the radius is 25/2 = 12.5 centimeters.
And the slant height, which is also the hypotenuse, is given as 22 centimeters.
Using the formula, we can calculate the surface area:
Surface Area = 3.14 * 12.5 * (12.5 + 22)
Surface Area = 3.14 * 12.5 * 34.5
Surface Area ≈ 1365.375 square centimeters
Therefore, the correct answer is:
1,354.125 square centimeters