Respuesta :

Here,

In cone,

radius = 10 units

height = 6 units

Volume of Cone = ?

Now,

Volume = 1/3*10*10*6

= 200 units^3

It is right answer...

I hope you understand...

Thank you...

Answer:

[tex]{\boxed{\sf{628}}}[/tex] units³

Step-by-step explanation:

Here's the required formula to find the volume of cone :

[tex]{\longrightarrow{\pmb{\sf{V_{(Cone)} = \dfrac{1}{3}\pi{r}^{2}h}}}}[/tex]

  • [tex]\purple\star[/tex] V = Volume
  • [tex]\purple\star[/tex] π = 3.14
  • [tex]\purple\star[/tex] r = radius
  • [tex]\purple\star[/tex] h = height

Substituting all the given values in the formula to find the volume of cone :

[tex]{\implies{\rm{V_{(Cone)} = \dfrac{1}{3}\pi{r}^{2}h}}}[/tex]

[tex]{\implies{\rm{V_{(Cone)} = \dfrac{1}{3} \times 3.14 \times {(10)}^{2} \times 6}}}[/tex]

[tex]{\implies{\rm{V_{(Cone)} = \dfrac{1}{3} \times 3.14 \times {(10 \times 10)} \times 6}}}[/tex]

[tex]{\implies{\rm{V_{(Cone)} = \dfrac{1}{3} \times 3.14 \times {(100)} \times 6}}}[/tex]

[tex]{\implies{\rm{V_{(Cone)} = \dfrac{1}{3} \times 3.14 \times 100 \times 6}}}[/tex]

[tex]{\implies{\rm{V_{(Cone)} = \dfrac{1}{\cancel{3}} \times 3.14 \times 100 \times \cancel{6}}}}[/tex]

[tex]{\implies{\rm{V_{(Cone)} = 1\times 3.14 \times 100 \times 2}}}[/tex]

[tex]{\implies{\rm{V_{(Cone)} = 3.14 \times 100 \times 2}}}[/tex]

[tex]{\implies{\rm{V_{(Cone)} = 314\times 2}}}[/tex]

[tex]{\implies{\rm{V_{(Cone)} = 628}}}[/tex]

[tex]\star{\boxed{\sf{\pink{V_{(Cone)} = 628 \: {units}^{3}}}}}[/tex]

Hence, the volume of cone is 628 units³.

[tex]\begin{gathered}\end{gathered}[/tex]

LEARN MORE :

[tex]\boxed{\begin{minipage}{6 cm}\bigstar$\:\underline{\textbf{Formulae Related to Cone :}}\\\\\sf {\textcircled{\footnotesize\textsf{1}}} \:Area\:of\:Base =\pi r^2 \\\\ \sf {\textcircled{\footnotesize\textsf{2}}} \:\:Curved \: Surface \: Area = \pi rl\\\\\sf{\textcircled{\footnotesize\textsf{3}}} \:\:TSA = Area\:of\:Base + CSA=\pi r^2+\pi rl\\ \\{\textcircled{\footnotesize\textsf{4}}} \: \:Volume=\dfrac{1}{3}\pi r^2h\\ \\{\textcircled{\footnotesize\textsf{5}}} \: \:Slant \: Height=\sqrt{r^2 + h^2}\end{minipage}}[/tex]

[tex]\rule{300}{2.5}[/tex]

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