1 = slant height
d = diameter
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.
8.8 cm
O 11.5 cm
O 14.3 cm
○ 2.5 cm
To find the slant height of the cone, we can use the Pythagorean Theorem.
The height of the cone is 6 cm and the radius (which is half of the diameter) is 6.5 cm (13 cm diameter / 2).
Using the Pythagorean Theorem:
slant height^2 = radius^2 + height^2
slant height^2 = 6.5^2 + 6^2
slant height^2 = 42.25 + 36
slant height^2 = 78.25
Taking the square root of both sides, we get:
slant height = √78.25
slant height = 8.8 cm
Therefore, the slant height must be 8.8 cm.
The closest answer choice is 8.8 cm.