Question

Find the volume of the cone :)

Answer 1

The volume of cone is 528 in³.

Step-by-step explanation:

`{\tt{\underline{\underline{\red{SOLUTION}}}}}`

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

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

• ➝ V = Volume
• ➝ π = 22/7
• ➝ r = radius
• ➝ h = height

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

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

`{\longrightarrow{\sf{V_((Cone)) = (1)/(3) * (22)/(7) * {(6)}^(2)14}}}`

`{\longrightarrow{\sf{V_((Cone)) = (1)/(3) * (22)/(7) * {(6 * 6)}14}}}`

`{\longrightarrow{\sf{V_((Cone)) = (1)/(3) * \frac{22}{\cancel{7}} * {(6 * 6)} \cancel{14}}}}`

`{\longrightarrow{\sf{V_((Cone)) = (1)/(3) * 22 * {(36)} 2}}}`

`{\longrightarrow{\sf{V_((Cone)) = \frac{1}{\cancel{3}} * 22 * \cancel{36}* 2}}}`

`{\longrightarrow{\sf{V_((Cone)) = 22 * 12 * 2}}}`

`{\longrightarrow{\sf{V_((Cone)) = 22 * 24}}}`

`{\longrightarrow{\sf{V_((Cone))=528}}}`

`\star{\underline{\boxed{\sf{\purple{V_((Cone))=528 \: {in}^(3)}}}}}`

Hence, the volume of cone is 528 in³.

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

`{\tt{\underline{\underline{\red{LEARN \: MORE}}}}}`

Some related formulae

• 
  `\green\star` Surface area of sphere = 4πr²
• 
  `\green\star` Volume of cone = 1/3 πr²h
• 
  `\green\star` Area of circle = πr²
• 
  `\green\star` Circumference = 2πr
• 
  `\green\star` Diameter = 2 × Radius
• 
  `\green\star` Radius = Diameter/2
• 
  `\green\star` Curved surface area of cone = πrl
• 
  `\green\star` Total surface area of cone = πrl + πr²h
• 
  `\green\star` Volume of cylinder = πr²h
• 
  `\green\star` Total surface area of cylinder = 2πrh + 2πr²
• 
  `\rule{300}{2.5}`

Answer 2

528in^3

Explanation:

V=1/3πr^2h

V=1/3*22/7*6^2*14

V=1/3*22/7*36*14

V=1/3*22/7*504

V=528in^3