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otez555 [7]
3 years ago
9

Solve for "r": 4/3πr^3 = V

Mathematics
1 answer:
boyakko [2]3 years ago
8 0
\frac{4}{3} \pi r^3=V
\\
\\4\pi r^3=3V
\\
\\ r^3= \frac{3V}{4\pi}
\\
\\r= \sqrt[3]{\frac{3V}{4\pi}}
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Find and identify the traces of the quadric surface x2 + y2 − z2 = 36 given the plane. x = k Find the trace. Incorrect: Your ans
AlekseyPX

Answer:

Hyperbola.

Step-by-step explanation:

We start from the function:

x^{2} +y^{2} -z^{2} =36

We may get the traces if we cut the surface in planes x=k. This is equivalent to replace x for k:

k^{2}+y^{2} -z^{2}=36\\y^{2} -z^{2}=36-k^{2}

The last equation is the equation of an hyperbola, which varies its characteristics depending on K (the plane cut).

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How to figure this out!
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