Question
what is the height of the right circular cone of 14 in,15 in,and 12 in
Answers
GPT 3.5
To find the height of a right circular cone, we can use the Pythagorean Theorem.
Given that the slant height (l) is 14 in, the radius (r) is 15 in, and the height (h) is unknown, we can use the Pythagorean Theorem:
l^2 = r^2 + h^2
Substituting the given values:
14^2 = 15^2 + h^2
Simplifying:
196 = 225 + h^2
Subtracting 225 from both sides:
h^2 = 196 - 225
h^2 = -29
Since the square of a real number cannot be negative, this means that there is no real height that satisfies the given conditions.
Therefore, there is no height of the right circular cone formed by those dimensions.
Given that the slant height (l) is 14 in, the radius (r) is 15 in, and the height (h) is unknown, we can use the Pythagorean Theorem:
l^2 = r^2 + h^2
Substituting the given values:
14^2 = 15^2 + h^2
Simplifying:
196 = 225 + h^2
Subtracting 225 from both sides:
h^2 = 196 - 225
h^2 = -29
Since the square of a real number cannot be negative, this means that there is no real height that satisfies the given conditions.
Therefore, there is no height of the right circular cone formed by those dimensions.