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zysi [14]
3 years ago
11

A cylinder has a radius of 4x+2 and a height of 5x+4. Which polynomial in standard form best describes the total volume of the c

ylinder. Use the formula V=pir^2h for the volume of a cylinder.
Mathematics
1 answer:
Viefleur [7K]3 years ago
6 0
\bf \textit{volume of a cylinder}\\\\
V=\pi r^2 h~~
\begin{cases}
r=radius\\
h=height\\
-----\\
r=4x+2\\
h=5x+4
\end{cases}\implies V=\pi (4x+2)^2(5x+4)
\\\\\\
V=\pi [(4x+2)(4x+2)](5x+4)\\\\\\ V=\pi \stackrel{FOIL}{(16x^2+16x+4)}(5x+4) \\\\\\
V=\pi[ (80x^3+80x^2+20x)+(64x^2+64x+16)]
\\\\\\
V=80\pi  x^3+144\pi  x^2+84\pi  x+16\pi
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Answer:

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Step-by-step explanation:

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When Mr. Chen checked their answers, he found only one to be correct.

And she was Helena.

Helena gave the answer as (7y²z + 6yz²- 5 - 3yz² + 2) which is equivalent to (7y²z + 3yz² - 3).  

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Step-by-step explanation:

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