Chem tech makes paper cones used to filter liquids in the lab experiments v to make 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 cones to be 6cm. If they make the diameter 13cm what must the slant height be
To find the slant height of the cone, we can use the Pythagorean theorem.
The formula for the slant height of a cone is given by:
slant height (l) = √(r^2 + h^2)
where r is the radius of the base (half the diameter) and h is the height of the cone.
Given that the diameter is 13 cm, the radius is 13/2 = 6.5 cm. The height is given as 6 cm.
Substituting these values into the formula:
l = √(6.5^2 + 6^2)
l = √(42.25 + 36)
l = √(78.25)
l ≈ 8.84 cm
Therefore, the slant height of the cone should be approximately 8.84 cm.