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The volume of a cylinder is 225pi cmand its radius is 5 cm.What is the length of the cylinder's height?o 9 cmo 5 cmo 10 cmo 7 cm

The volume of a cylinder is 225pi cmand its radius is 5 cm.What is the length of the-example-1

1 Answer

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The formula for the volume of the cylinder is given by:


V=\pi\cdot r^2\cdot h

Where:

r = radius

h = length of height

Substitute the given values:


225\pi=\pi\cdot(5)^2\cdot h

And solve for h:


\begin{gathered} 225\pi=\pi\cdot25\cdot h \\ (225\pi)/(25\pi)=(25\pi h)/(25\pi) \\ h=9 \end{gathered}

Answer: 9 cm

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