Math, asked by kusumanmeena, 4 months ago

find the volume of right circular cone with r=16 cm , h=17 cm​

Answers

Answered by sethrollins13
61

Given :

  • Radius and Height of a Cone is 16 cm and 17 cm respectively .

To Find :

  • Volume of Cone .

Solution :

\longmapsto\tt{Radius=16\:cm}

\longmapsto\tt{Height=17\:cm}

Using Formula :

\longmapsto\tt\boxed{Volume\:of\:Cone=\dfrac{1}{3}\pi{{r}^{2}h}}

Putting Values :

\longmapsto\tt{\dfrac{1}{3}\times\dfrac{22}{7}\times{16}\times{16}\times{17}}

\longmapsto\tt{\dfrac{22\times{16}\times{16}\times{17}}{21}}

\longmapsto\tt{\cancel\dfrac{95744}{21}}

\longmapsto\tt\bf{4559.2\:{cm}^{3}}

So , The Volume of Cone is 4559.2 cm³ ..

_______________________

  • C.S.A of Cone = πrl
  • T.S.A of Cone = πr(l+r)
  • Volume of Cone = ⅓ πr²h

Here :

  • r = radius of cone
  • l = slant height of cone
  • h = height of cone

_______________________

Answered by Mister360
1

Diagram:-

\setlength{\unitlength}{1.2mm}\begin{picture}(5,5)\thicklines\put(0,0){\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\put(-0.5,-1){\line(1,2){13}}\put(25.5,-1){\line(-1,2){13}}\multiput(12.5,-1)(2,0){7}{\line(1,0){1}}\multiput(12.5,-1)(0,4){7}{\line(0,1){2}}\put(18,1.6){\sf{r}}\put(9.5,10){\sf{h}}\end{picture}

Answer:

 \huge \bf \: given

  • R - 16 cm
  • H - 17 cm

 \huge \tt \: answer

Here,

'R' Stands for radius and 'H' stands for height.

 \huge \tt \:  formula \:  = \: \frac{1}{3} \pi \:  {r}^{2} h

 \frac{1}{3}  \times  \frac{22}{7}  \times 16 \times 16 \times 17

 \frac{22 \times 16 \times 16 \times 17}{21}

 \frac{95744}{21}

 \bf \:  {4559.2}^{3}

So, the volume of cone - 4559.2³ cm

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