The length of the cone can be found by using the Pythagorean theorem. We can create a right triangle with the slant height as the hypotenuse, the radius (half the diameter) as one leg, and the height as the other leg.
The radius of the cone is half of the diameter, which is 2 centimeters / 2 = 1 centimeter.
Using the Pythagorean theorem, we can find the length of the cone:
Length^2 = radius^2 + height^2
Length^2 = 1^2 + 6^2
Length^2 = 1 + 36
Length^2 = 37
Taking the square root of both sides, we find:
Length = √37
Therefore, the length of the cone is approximately 6.08 centimeters.
Cylinders and Cones Practice
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Question
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A cone is marked with a height of 6 centimeters and a diameter of 2 centimeters, both shown as perpendicular dotted lines. The slant height is marked as 4 centimeters.
What is the length of the cone?
1 answer