BeulahI318971 BeulahI318971
  • 03-11-2022
  • Mathematics
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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 cmWhat is the length of the cylinders heighto 9 cmo 5 cmo 10 cmo 7 cm class=

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TurkJ212423 TurkJ212423
  • 03-11-2022

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

[tex]V=\pi\cdot r^2\cdot h[/tex]

Where:

r = radius

h = length of height

Substitute the given values:

[tex]225\pi=\pi\cdot(5)^2\cdot h[/tex]

And solve for h:

[tex]\begin{gathered} 225\pi=\pi\cdot25\cdot h \\ \frac{225\pi}{25\pi}=\frac{25\pi h}{25\pi} \\ h=9 \end{gathered}[/tex]

Answer: 9 cm

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