Use the image to answer the question. Chem Tech makes paper cones used to filter liquids in lab experiments. 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 6 cm. If they make the diameter 13 cm, what must the slant height be? Use the Pythagorean Theorem and round the answer to the nearest tenth. (1 point) Responses 2.5 cm 2.5 cm 11.5 cm 11.5 cm 8.8 cm 8.8 cm 14.3 cm
To find the slant height, we can use the Pythagorean Theorem.
The height of the cone is given as 6 cm, and the radius (half of the diameter) is 6.5 cm.
Using the Pythagorean Theorem:
Slant height = √(6^2 + 6.5^2)
Slant height = √(36 + 42.25)
Slant height = √78.25
Slant height ≈ 8.8 cm
Therefore, the slant height of the paper cone should be approximately 8.8 cm. Thus, the correct response is 8.8 cm.