Answer :

AadhPrit

Answer:

The volume of cone is 196 ft³.

Step-by-step explanation:

As per given question we have provided that

  • [tex]\purple\star[/tex] Diameter = 14 ft
  • [tex]\purple\star[/tex] Radius = 14/2 = 7 ft
  • [tex]\purple\star[/tex] Height = 4 ft

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

[tex]\star{\underline{\boxed{\sf{V = \dfrac{\pi{r}^{2}h}{3}}}}}[/tex]

  • [tex]\pink\star[/tex] V = Volume
  • [tex]\pink\star[/tex] π = 3
  • [tex]\pink\star[/tex] r = radius
  • [tex]\pink\star[/tex] h = height

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

[tex]{\implies{\sf{V = \dfrac{\pi{r}^{2}h}{3}}}}[/tex]

[tex]{\implies{\sf{V = \dfrac{3{(7)}^{2}4}{3}}}}[/tex]

[tex]{\implies{\sf{V = \dfrac{3{(7 \times 7)}4}{3}}}}[/tex]

[tex]{\implies{\sf{V = \dfrac{3{(49)}4}{3}}}}[/tex]

[tex]{\implies{\sf{V = \dfrac{3 \times 49 \times 4}{3}}}}[/tex]

[tex]{\implies{\sf{V = \dfrac{\cancel{3} \times 49 \times 4}{\cancel{3}}}}}[/tex]

[tex]{\implies{\sf{V = 49 \times 4}}}[/tex]

[tex]{\implies{\sf{V \approx 196}}}[/tex]

[tex]\star{\underline{\boxed{\sf{\red{V \approx 196 \: {ft}^{3}}}}}}[/tex]

Hence, the volume of cone is 196 ft³.

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

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