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docker41 [41]
3 years ago
9

Helppppppppppppppppppppp

Mathematics
1 answer:
Dvinal [7]3 years ago
8 0

Answer:

325 cm^3

Step-by-step explanation:

5 x 5 x 15 = 325

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A cyclindrical water tank has a radius of 6 feet and a height of 20 feet. A larger tank with the same height has a volume that i
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\bf \textit{volume of a cylinder}\\\\
V=\pi r^2 h~~
\begin{cases}
r=radius\\
h=height\\
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r=6\\
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since the smaller tank has a volume of 720π, then the larger tank has a volume of 3 times that much or 3*720π, or 2160π, and its height is the same as the smaller one's, 20.

\bf \textit{volume of a cylinder}\\\\
V=\pi r^2 h~~
\begin{cases}
r=radius\\
h=height\\
-----\\
V=2160\pi \\
h=20
\end{cases}\implies 2160\pi =\pi  r^2(20)\implies \cfrac{2160\pi }{20\pi }=r^2
\\\\\\
108=r^2\implies \sqrt{108}=r\implies 6\sqrt{3}=r
\\\\\\
\stackrel{\textit{and since the \underline{d}iameter is twice the radius}}{d = 2r\implies d=12\sqrt{3}}
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3 years ago
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If 3x – 10 = 17, what is the value of 6x + 20 ?
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3x-10=17\ \ \ /\cdot2\\\\2\cdot3x-2\cdot10=2\cdot17\\\\6x-20=34\ \ \ \ /+40\\\\6x-20+40=34+40\\\\6x+20=74
3 0
3 years ago
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