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3 years ago

Two similar cones have radii in the ratio n:m. What is the ratio of their slant heights?

Mathematics

1 answer:

denis-greek [22]3 years ago

8 0

Answer:

The ratio of the slant heights of the two cones will also be n : m.

Step-by-step explanation:

See the attached diagram.

If we take the vertical sections along any diameter of the base circle of the cones A and B then the triangular sections as we get will be similar.

Now, ratio of the base of the triangles A and B i.e. the ratio of the diameters of the cones A and B will be 2n : 2m = n : m and this will be the same as the ratios of other two sides of the triangles A and B.

Therefore, the ratio of the slant heights of the two cones will also be n : m. (Answer)

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Answer:

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Step-by-step explanation:

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Answer:

This might help:

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3 years ago

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Answer:

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Step-by-step explanation:

Options are:

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9 feet
15 feet
19 feet
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-------------------------------------

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3 feet ⇒ no, as 3 + 9 = 12
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15 feet ⇒ yes
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