Come tech makes paper cones used to fill liquids and lab experience to use the paper cones the company starts with the net of the shape where the slant height is needed the company wants the height of the cone to be 6 cm if they make the diameter 13 cm what is the slant height Mommy 14.3 CM 11.5 CM 8.8 CM 2.5 cm
To find the slant height of a cone, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, the slant height is the hypotenuse, the height of the cone is one of the other two sides, and the radius is the other side.
Given that the height of the cone is 6 cm and the diameter (which is twice the radius) is 13 cm, we can find the radius by dividing the diameter by 2:
Radius = Diameter / 2 = 13 cm / 2 = 6.5 cm
Now, we can apply the Pythagorean theorem to find the slant height:
Slant height^2 = Height^2 + Radius^2
Slant height^2 = 6^2 + 6.5^2
Slant height^2 = 36 + 42.25
Slant height^2 = 78.25
Taking the square root of both sides, we find:
Slant height = √78.25 ≈ 8.83 cm
Therefore, the slant height of the cone is approximately 8.83 cm.