If the diameter of the cylinder's base is 10, then the radius is half that, or 5.

$\bf \textit{volume of a cylinder}\\\\
V=\pi r^2 h\qquad 
\begin{cases}
r=radius\\
h=height\\
------\\
r=5\\
V=2200\pi 
\end{cases}\implies 2200\pi =\pi (5)^2h
\\\\\\
\cfrac{2200\pi }{\pi (5)^2}=h\implies \cfrac{2200}{25}=h\implies 88=h$

8 0

2 years ago

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I need to solve for x and y. Any help is greatly appreciated! Thank you!

Inessa05 [86]

x=-3, y=1

Step-by-step explanation:

Given equations are:

2x-3y=-9 Eqn 1

x+y = - 2 Eqn 2

From eqn 2:

$x=-y-2$

Putting x=-y-2 in eqn 1

$2(-y-2)-3y=-9\\-2y+4-3y=-9\\-5y-4=-9\\Adding\ 4\ on\ both\ sides\\-5y-4+4=-9+4\\-5y=-5\\Dividing\ both\ sides\ by\ -5\frac{-5y}{-5}=\frac{-5}{-5}\\y=1\\Putting\ y=1\ in\ eqn\ 2\\x+1=-2\\Subtracting\ 1\ from\ both\ sides\\x+1-1=-2-1\\x=-3$

Hence,

x=-3, y=1

Keywords: Linear equations, Variables

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3 0

3 years ago