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Ghella [55]
3 years ago
15

Question from my math test

Mathematics
1 answer:
Alex787 [66]3 years ago
8 0

Answer:

Wednesday

Step-by-step explanation:

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What is x, if the volume of the cylinder is 768pi rcm3?
AVprozaik [17]

let's recall Cavalieri's Principle, <u>solids with equal altitudes and cross-sectional areas at each height have the same volume</u>, so even though this cylinder is slanted with a height = x and a radius = 8, the cross-sectional areas from the bottom to top are the same thickness and thus the same area, so its volume will be the same as a cylinder with the same height and radius that is not slanted.

\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} r=8\\ h=x\\ V=768\pi \end{cases}\implies 768\pi =\pi (8)^2(x)\implies 768\pi =64\pi x \\\\\\ \cfrac{768\pi }{64\pi }=x\implies 12=x

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3 years ago
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dangina [55]
5. Yes 1,2, or 3 hours
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alexandr402 [8]

Answer:

Answer is below

Step-by-step explanation:

2\log _5\left(x\right)+10\log _{10}\left(x\right)

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2 years ago
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IgorC [24]

Answer:

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Step-by-step explanation:

5x + 15 = 45

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Hope this helps :)

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3 years ago
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