AdabellaO325623 AdabellaO325623
  • 03-11-2022
  • Mathematics
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the volume of a cylinder is 1269 pi cm^3 and its height is 16 cmthe length of the cylinders radius is ___ cm

the volume of a cylinder is 1269 pi cm3 and its height is 16 cmthe length of the cylinders radius is cm class=

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KeyontaeP297239 KeyontaeP297239
  • 03-11-2022

The volume of cylinder is.

[tex]V=1296\pi[/tex]

The height of cylinder is h = 16.

The formula for the volume of the cylinder is,

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

Determine the length of radius of cylinder.

[tex]\begin{gathered} 1296\pi=\pi(r)^216 \\ r^2=\frac{1296\pi}{16\pi} \\ =81 \\ r=\sqrt[]{81} \\ =9 \end{gathered}[/tex]

So length of cylinder radius is 9 cm.

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