Question

Help urgently whats the answer

Answer 1

`{\boxed{\sf{628}}}` units³

Step-by-step Step-by-step explanation:

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

`{\longrightarrow{\pmb{\sf{V_((Cone)) = (1)/(3)\pi{r}^(2)h}}}}`

• 
  `\purple\star` V = Volume
• 
  `\purple\star` π = 3.14
• 
  `\purple\star` r = radius
• 
  `\purple\star` h = height

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

`{\implies{\rm{V_((Cone)) = (1)/(3)\pi{r}^(2)h}}}`

`{\implies{\rm{V_((Cone)) = (1)/(3) * 3.14 * {(10)}^(2) * 6}}}`

`{\implies{\rm{V_((Cone)) = (1)/(3) * 3.14 * {(10 * 10)} * 6}}}`

`{\implies{\rm{V_((Cone)) = (1)/(3) * 3.14 * {(100)} * 6}}}`

`{\implies{\rm{V_((Cone)) = (1)/(3) * 3.14 * 100 * 6}}}`

`{\implies{\rm{V_((Cone)) = \frac{1}{\cancel{3}} * 3.14 * 100 * \cancel{6}}}}`

`{\implies{\rm{V_((Cone)) = 1* 3.14 * 100 * 2}}}`

`{\implies{\rm{V_((Cone)) = 3.14 * 100 * 2}}}`

`{\implies{\rm{V_((Cone)) = 314* 2}}}`

`{\implies{\rm{V_((Cone)) = 628}}}`

`\star{\boxed{\sf{\pink{V_((Cone)) = 628 \: {units}^(3)}}}}`

Hence, the volume of cone is 628 units³.

`\begin{gathered}\end{gathered}`

LEARN MORE :

`\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=(1)/(3)\pi r^2h\\ \\{\textcircled{\footnotesize\textsf{5}}} \: \:Slant \: Height=√(r^2 + h^2)\end{minipage}}`

`\rule{300}{2.5}`