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umka2103 [35]
4 years ago
12

Find the volume of the sphere.

Mathematics
1 answer:
Agata [3.3K]4 years ago
6 0

Answer:

The volume is 33.51

Step-by-step explanation:

The formula for the volume of a sphere is 4/3πr³

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Check the picture below.

now, the "x" is a constant, the rocket is going up, so "y" is changing and so is the angle, but "x" is always just 15 feet from the observer.  That matters because the derivative of a constant is zero.

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\boxed{\cfrac{d\theta }{dt}=\cfrac{cos^2(\theta )\frac{dy}{dt}}{15}}\\\\
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\bf cos(\theta )=\cfrac{adjacent}{hypotenuse}\implies cos(\theta )=\cfrac{15}{15\sqrt{5}}\implies cos(\theta )=\cfrac{1}{\sqrt{5}}\\\\
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