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Andrews [41]
4 years ago
12

^ this week, The sparkling water was 4 for $5 , the regular was $1.69

Mathematics
1 answer:
S_A_V [24]4 years ago
4 0
This week you paid $1.25 each because they were on sale for four for $5.

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Mrs. Valdez wanted to determine the number of people, p, she could safely take in her car to the fun run. She determined that p
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for the first question b,


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Step-by-step explanation:


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j - 58

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PLEASE HELPP!!!! I’m sorry if you can’t read it well.
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Given that y=kx
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A right cylinder is inscribed in a sphere of radius r. How do you find the largest possible volume of such a cylinder?
satela [25.4K]

Answer:

Step-by-step explanation:

Suppose Radius of sphere is R and cylinder inscribed inside the sphere is r with height h

using Pythagoras theorem in shown triangle

R^2=r^2+(\frac{h}{2})^2

r^2=R^2-(\frac{h}{2})^2

Volume of cylinder is

V=\pi \times r^2\times h

V=\pi \times (R^2-(\frac{h}{2})^2)\times h

V=\pi (R^2\cdot h-\frac{h^3}{4})

differentiate V w.r.t to h we get

\frac{\mathrm{d} V}{\mathrm{d} h}=\pi (R^2-\frac{3h^2}{4})

Putting \frac{\mathrm{d} V}{\mathrm{d} h} to get maxima/minima

R^2=\frac{3h^2}{4}

h=\frac{2R}{\sqrt{3}}

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therefore volume is given by

V=\frac{4}{3\sqrt{3}}\pi R^3

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