Question

Help math ASAP true answe pelsss

Answer 1

The volume of cone is 196 ft³.

Explanation:

As per given question we have provided that

• 
  `\purple\star` Diameter = 14 ft
• 
  `\purple\star` Radius = 14/2 = 7 ft
• 
  `\purple\star` Height = 4 ft

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

`\star{\underline{\boxed{\sf{V = \frac{\pi{r}^(2)h}{3}}}}}`

• 
  `\pink\star` V = Volume
• 
  `\pink\star` π = 3
• 
  `\pink\star` r = radius
• 
  `\pink\star` h = height

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

`{\implies{\sf{V = \frac{\pi{r}^(2)h}{3}}}}`

`{\implies{\sf{V = \frac{3{(7)}^(2)4}{3}}}}`

`{\implies{\sf{V = \frac{3{(7 * 7)}4}{3}}}}`

`{\implies{\sf{V = \frac{3{(49)}4}{3}}}}`

`{\implies{\sf{V = (3 * 49 * 4)/(3)}}}`

`{\implies{\sf{V = \frac{\cancel{3} * 49 * 4}{\cancel{3}}}}}`

`{\implies{\sf{V = 49 * 4}}}`

`{\implies{\sf{V \approx 196}}}`

`\star{\underline{\boxed{\sf{\red{V \approx 196 \: {ft}^(3)}}}}}`

Hence, the volume of cone is 196 ft³.

`\rule{300}{2.5}`