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Deffense [45]
3 years ago
6

Y=7 Y=-2x+1 Find the intersection

Mathematics
1 answer:
stealth61 [152]3 years ago
3 0
I was going to answer but she gave you the answer sooo
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A funnel is made up of a partial cone and a cylinder as shown in the figure. The maximum amount of liquid that can be in the fun
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The funnel which is composed of the partial cone and the cylindrical bottom has a combined volume of <span>16.59375π.

ok, now, if we just get the volume the the cylindrical bottom holds, and subtract it from </span><span>16.59375π, what's leftover is the volume the partial cone holds, so let's do so, keeping in mind the cylindrical part has a diameter of 1.5, and therefore a radius of half that, or 0.75, and a height of 1.5.

</span>\bf \textit{volume of a cylinder}\\\\&#10;V=\pi r^2 h\quad &#10;\begin{cases}&#10;r=radius\\&#10;h=height\\&#10;-----\\&#10;r=0.75\\&#10;h=1.5&#10;\end{cases}\implies V=\pi 0.75^2\cdot 1.5&#10;\\\\\\&#10;V=0.84375\pi \\\\&#10;-------------------------------\\\\&#10;\stackrel{\textit{volume of the funnel in total}}{16.59375\pi }~-~\stackrel{\textit{volume of the cylindrical bottom}}{0.84375\pi }=\stackrel{\stackrel{partial~cone}{volume}}{15.75\pi }<span>
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