1 = slant height
d = diameter
page 15
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.
To find the slant height of the cone, we can use the Pythagorean theorem, which states that the square of the hypotenuse (slant height) is equal to the sum of the squares of the other two sides.
In this case, the height of the cone (h) is 6 cm and the radius (r) is half of the diameter, so r = 13/2 = 6.5 cm.
We can set up the equation as:
(6.5)^2 + h^2 = 13^2
42.25 + h^2 = 169
h^2 = 126.75
h = √126.75
h ≈ 11.3 cm
Therefore, the slant height of the cone should be approximately 11.3 cm.