Math, asked by raghavgujjar, 7 months ago

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If the Volume of a Cylinder is 441 π cm^3 and height is 9 cm , then its Radius is ?​

Answers

Answered by sethrollins13
29

Given :

  • Volume of Cylinder is 441π cm³ .
  • Height of Cylinder is 9 cm.

To Find :

  • Radius of Cylinder

Solution :

\longmapsto\tt{Height=9\:cm}

Using Formula :

\longmapsto\tt\boxed{Volume\:of\:Cylinder=\pi{{r}^{2}h}}

Putting Values :

\longmapsto\tt{441{\cancel{\pi}}={\cancel{\pi}}\times{{r}^{2}}\times{9}}

\longmapsto\tt{441=9{r}^{2}}

\longmapsto\tt{\cancel\dfrac{441}{9}={r}^{2}}

\longmapsto\tt{r=\sqrt{49}}

\longmapsto\tt\bf{r=7\:cm}

So , Radius of Cylinder is 7 cm..

_______________________

  • C.S.A Of Cylinder = 2πrh
  • T.S.A of Cylinder = 2πr(r+h)
  • Volume of Cylinder = πr²h

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