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mestny [16]
3 years ago
14

\frac{3}{4}x-1\frac{5}{8}-2\frac{3}{4}" alt="\frac{3}{4}x-1\frac{5}{8}-2\frac{3}{4}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Leto [7]3 years ago
7 0
Hopes this helps:

Answer: 3x/4 - 35/8

If it’s wrong than I am so sorry that I couldn’t help you.
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The bottom portion of a loading bin is cone shaped. The base radius of this part of the bin is 3.5 feet and the slant height is
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\bf \textit{lateral surface of a cone}\\\\ LA=\pi r\sqrt{r^2+h^2}~~ \begin{cases} ~~ r=radius\\ sh=\stackrel{slant~height}{\sqrt{r^2+h^2}}\\[-0.5em] \hrulefill\\ r=3.5\\ sh=6.5 \end{cases}\\\\\\ LA=\pi (3.5)(6.5)\implies LA\approx71.47 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{sh}{6.5}=\sqrt{r^2+h^2}\implies 6.5=\sqrt{3.5^2+h^2}\implies 6.5^2=3.5^2+h^2 \\\\\\ 6.5^2-3.5^2=h^2\implies \sqrt{6.5^2-3.5^2}=h\implies \sqrt{30}=h \\\\[-0.35em] ~\dotfill

\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3.5\\ h=\sqrt{30} \end{cases}\implies V=\cfrac{\pi (3.5)^2\sqrt{30}}{3}\implies V\approx 70.26

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3 years ago
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