Surface Area of Cones Practice
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Question
What is the surface area, in square centimeters, of a cone with a diameter of 12 feet and a slant height of 14 feet? Use 3.14 for pi and round to the nearest tenth, if necessary.(1 point)
square centimeters
To find the surface area of a cone, we need to know the radius and slant height. Since we are given the diameter of the cone, we can find the radius by dividing the diameter by 2:
Radius = diameter / 2 = 12 ft / 2 = 6 ft
Now we can use the formula for the surface area of a cone:
Surface Area = πr(r + l)
where r is the radius and l is the slant height.
Surface Area = 3.14 * 6 ft * (6 ft + 14 ft)
Surface Area = 3.14 * 6 ft * 20 ft
Surface Area = 376.8 ft^2
Rounding to the nearest tenth, the surface area of the cone is approximately 376.8 square centimeters.