Question

Use the image to answer the question.

A geometric figure illustrates the two-dimensional components that form a three-dimensional cone when assembled.

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

11.5 cm
11.5 cm

14.3 cm
14.3 cm

 8.8 cm
 8.8 cm

2.5 cm 
2.5 cm 
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Answer 1

Radius = 13/2 = 6.5 cm. Slant height s = sqrt(radius^2 + height^2) = sqrt(6.5^2 + 6^2) = sqrt(42.25 + 36) = sqrt(78.25) ≈ 8.8 cm.

Answer: 8.8 cm.