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scoray [572]
3 years ago
6

A cylinder has a volume of 360 in^3. If the height and radius are multiplied by 2.5, what will the resulting volume be?

Mathematics
1 answer:
4vir4ik [10]3 years ago
5 0
\bf \textit{volume of a cylinder}\\\\
V=\pi r^2 h\quad 
\begin{cases}
r=radius\\
h=height\\
-----\\
r=2.5r\\
h=2.5h
\end{cases}\implies V=\pi (2.5r)^2(2.5h)
\\\\\\
V=\pi \cdot 2.5^2\cdot  r^2\cdot 2.5h\implies V=(2.5^2\cdot 2.5)\pi r^2 h
\\\\\\
V=15.625\pi r^2h\impliedby \textit{15.625 of the original}
\\\\\\
\textit{if the original was 360}\qquad 15.265\cdot 360
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