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Answer :
if the diameter of the cylinder's base is 10, then the radius is half that, or 5.
[tex]\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[/tex]
[tex]\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[/tex]
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Rewritten by : Barada
Height of the cylinder is equals to 88inches.
What is volume?
"Volume is defined as total amount of space occupied by any three dimensional object enclosed in it."
Formula used
Volume of the cylinder = πr²h
r = radius of the cylinder
h = height of the cylinder
radius = diameter / 2
According to the question,
Given,
Volume of the cylinder = 2,200π cubic inches
Diameter of the cylinder circular base = 10inches
Substitute the values in the formula we get,
Radius = (10 / 2)
= 5inches
Substitute the value in the volume formula we have,
2200π = π × ( 5 )² × h
⇒2200π = 25π × h
⇒h = (2200π / 25π)
⇒ h = 88inches
Hence, height of the cylinder is equals to 88inches.
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