Asked by the milk duds
find the radius of the cone. height is 56ft and the slant is 65ft
Answers
Answered by
GPT 3.5
To find the radius of the cone, we can use the Pythagorean Theorem, which states that for any right triangle, the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse.
In this case, the height of the cone is one leg, the slant height is the hypotenuse, and the radius is the other leg. Let's call the radius "r".
According to the Pythagorean Theorem, we have:
(r^2) + (56^2) = (65^2)
r^2 + 3136 = 4225
r^2 = 4225 - 3136
r^2 = 1089
Taking the square root of both sides:
r = √1089
r ≈ 33
Therefore, the radius of the cone is approximately 33 feet.
In this case, the height of the cone is one leg, the slant height is the hypotenuse, and the radius is the other leg. Let's call the radius "r".
According to the Pythagorean Theorem, we have:
(r^2) + (56^2) = (65^2)
r^2 + 3136 = 4225
r^2 = 4225 - 3136
r^2 = 1089
Taking the square root of both sides:
r = √1089
r ≈ 33
Therefore, the radius of the cone is approximately 33 feet.
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