Answer:
The volume of cone is 528 in³.
Step-by-step explanation:
[tex]{\tt{\underline{\underline{\red{SOLUTION}}}}}[/tex]
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]
- ➝ V = Volume
- ➝ π = 22/7
- ➝ r = radius
- ➝ h = height
Substituting all the given values in the formula to find the volume of cone :
[tex]{\longrightarrow{\sf{V_{(Cone)} = \dfrac{1}{3}\pi{r}^{2}h}}}[/tex]
[tex]{\longrightarrow{\sf{V_{(Cone)} = \dfrac{1}{3} \times \dfrac{22}{7} \times {(6)}^{2}14}}}[/tex]
[tex]{\longrightarrow{\sf{V_{(Cone)} = \dfrac{1}{3} \times \dfrac{22}{7} \times {(6 \times 6)}14}}}[/tex]
[tex]{\longrightarrow{\sf{V_{(Cone)} = \dfrac{1}{3} \times \dfrac{22}{\cancel{7}} \times {(6 \times 6)} \cancel{14}}}}[/tex]
[tex]{\longrightarrow{\sf{V_{(Cone)} = \dfrac{1}{3} \times 22 \times {(36)} 2}}}[/tex]
[tex]{\longrightarrow{\sf{V_{(Cone)} = \dfrac{1}{\cancel{3}} \times 22 \times \cancel{36}\times 2}}}[/tex]
[tex]{\longrightarrow{\sf{V_{(Cone)} = 22 \times 12 \times 2}}}[/tex]
[tex]{\longrightarrow{\sf{V_{(Cone)} = 22 \times 24}}}[/tex]
[tex]{\longrightarrow{\sf{V_{(Cone)}=528}}}[/tex]
[tex]\star{\underline{\boxed{\sf{\purple{V_{(Cone)}=528 \: {in}^{3}}}}}}[/tex]
Hence, the volume of cone is 528 in³.
[tex]\begin{gathered}\end{gathered}[/tex]
[tex]{\tt{\underline{\underline{\red{LEARN \: MORE}}}}}[/tex]
Some related formulae
- [tex]\green\star[/tex] Surface area of sphere = 4πr²
- [tex]\green\star[/tex] Volume of cone = 1/3 πr²h
- [tex]\green\star[/tex] Area of circle = πr²
- [tex]\green\star[/tex] Circumference = 2πr
- [tex]\green\star[/tex] Diameter = 2 × Radius
- [tex]\green\star[/tex] Radius = Diameter/2
- [tex]\green\star[/tex] Curved surface area of cone = πrl
- [tex]\green\star[/tex] Total surface area of cone = πrl + πr²h
- [tex]\green\star[/tex] Volume of cylinder = πr²h
- [tex]\green\star[/tex] Total surface area of cylinder = 2πrh + 2πr²
- [tex]\rule{300}{2.5}[/tex]
