3 years ago

I have 3 questions today.

Mathematics

1 answer:

Anuta_ua [19.1K]3 years ago

3 0

1. 2/(3+2+1) = 2/6 = 1/3 amount of pie.
2. 81/36 = 9/4 brounises
3. 12/8 + 15/6 = 6/2 = 3 muffins

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TiliK225 [7]

Parameterize the part of the sphere by

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with $0\le u\le2\pi$ and $0\le v\le\dfrac\pi4$ . Then

$\mathrm dS=\|\mathbf s_u\times\mathbf s_v\|=81\sin v\,\mathrm du\,\mathrm dv$

So the area of $S$ (the part of the sphere above the cone) is given by

$\displaystyle\iint_S\mathrm dS=81\int_{v=0}^{v=\pi/4}\int_{u=0}^{u=2\pi}\sin v\,\mathrm du\,\mathrm dv=81(2\pi)\left(1-\dfrac1{\sqrt2}\right)=(162-81\sqrt2)\pi$

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Answer:

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Step-by-step explanation:

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