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Oduvanchick [21]

3 years ago

8

Find dimensions of the rectangular box of maximum volume that can be inscribed in a sphere of radius a?

1 answer:

ivolga24 [154]3 years ago

4 0

This is an optimization calculus problem where you would need to know a little bit more about the box, atleast i would think. You would just need to use the volume equation of a sphere as the restrictive equation in the optimization problem. Perhaps there is a way to solve with the given information, but i do not know how to.

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Find the value of x

givi [52]

Answer:

110°

Step-by-step explanation:

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OA = OB (radii of same circle)

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$m\angle AOB = 180\degree - (20\degree +20\degree)$

$m\angle AOB = 180\degree - 40\degree$

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$m\widehat {ACB} =m\angle AOB = 140\degree$

(measure of minor arc is equal to corresponding central angle)

$x\degree = \frac{1}{2} (360\degree - 140\degree)$

(inscribed angle theorem)

$x\degree = \frac{1}{2} \times 220\degree$

$\huge\purple {x = 110}$

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