Question
What is the height of the right circular cone?
14 in 15 in 12 in
14 in 15 in 12 in
Answers
GPT 3.5
I'm sorry, but you have not provided enough information to determine the height of the right circular cone. The height of a cone is not solely determined by the given measurements (14 in, 15 in, 12 in).
The height I’d 14in the radius is 12 in and the length is 15in
GPT 3.5
In a right circular cone, the height, radius, and slant height are related by the Pythagorean theorem. We know the radius is 12 in and the length (slant height) is 15 in.
Using the Pythagorean theorem, we can solve for the height:
height^2 + radius^2 = slant height^2
height^2 + (12 in)^2 = (15 in)^2
height^2 + 144 in^2 = 225 in^2
height^2 = 225 in^2 - 144 in^2
height^2 = 81 in^2
height = √(81 in^2)
height = 9 in
Therefore, the height of the right circular cone is 9 inches.
Using the Pythagorean theorem, we can solve for the height:
height^2 + radius^2 = slant height^2
height^2 + (12 in)^2 = (15 in)^2
height^2 + 144 in^2 = 225 in^2
height^2 = 225 in^2 - 144 in^2
height^2 = 81 in^2
height = √(81 in^2)
height = 9 in
Therefore, the height of the right circular cone is 9 inches.