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kiki4832
06.11.2019 •
Mathematics
Among all right circular cones with a slant height of 24, what are the dimensions (radius and height) that maximize the volume of the cone? the slant height of a cone is the distance from the outer edge of the base to the vertex. let v be the volume of the cone. what is the objective function in terms of the height of the cone, h?
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Ответ:
5571.99
Step-by-step explanation:
We need to use the Pythagorean theorem to solve the problem.
The theorem indicates that,
Once this is defined, we proceed to define the volume of a cone,
Substituting,
We need to find the maximum height, so we proceed to calculate h, by means of its derivative and equalizing 0,
We select the positiv value.
We have then,
We can now calculate the maximum volume,
Ответ:
A
Step-by-step explanation:
I took the test