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Tpy6a [65]
3 years ago
5

One cylinder has a volume that is 8 cm³ less than 7/8 of the volume of a second cylinder. If the first cylinder’s volume is 216

cm², what is the correct equation and value of x, the volume of the second cylinder
Mathematics
2 answers:
Phoenix [80]3 years ago
3 0
Let's say the cylinders are 
A = first cylinder
B = second cylinder

B has some volume, the volume is  "x"
what's 7/8 of "x"?  well (7/8)x
what's 8 less than that?  well (7/8)x - 8

A has a volume of 216
we also know that, A's volume is (7/8)x - 8

thus  

\bf \textit{A's volume}=
\begin{cases}
216\\
\frac{7}{8}x-8
\end{cases}\implies 216=\cfrac{7}{8}x-8\impliedby 
\begin{array}{llll}
multiplying\\
by\ 8
\end{array}
\\\\\\
1728=7x-64\implies 1728+64=7x\implies \cfrac{1792}{7}=x\implies 256=x


Alona [7]3 years ago
3 0
The correct answer is D) 7/8x - 8 = 216; x = 256 cm³
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