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 14.3 cm 14.3 cm 11.5 cm 11.5 cm 8.8 cm 8.8 cm 2.5 cm
To find the slant height of the cone, we can use the Pythagorean Theorem.
According to the image, the radius of the cone is half of the diameter, which is 13 cm / 2 = 6.5 cm.
We can use the Pythagorean Theorem to find the slant height (l):
l^2 = r^2 + h^2
l^2 = 6.5^2 + 6^2
l^2 = 42.25 + 36
l^2 = 78.25
Taking the square root of both sides, we get:
l ≈ 8.8 cm
Therefore, the slant height should be approximately 8.8 cm.