Question

Find the volume of a cone that has a diameter of 14 feet and a height of 11 feet. Use 3.14 for pi

Answer 1

Explanation:

Given :-

• Height of cone :- 11 feet
• Diameter of cone :- 14 feet , radius = 7 feet

To Find :-

• Volume of cone

Solution:-

Formula for volume of cone = 1/3πr²h

• putting the known values ,

Volume = 1/3×3.14×7²×11 cubic ft.

Volume = 564.15 cubic ft.

Answer 2

• 564.15 cubic ft

`\:`

Explanation:

In the question, it is given that a cone has a diameter of 14 feet and a height of 11 feet and we have to find the volume of the cone.

`\:`

To Find the volume of the cone, we must know this formula :

`\\{\longrightarrow{ \qquad{\underline{\boxed {\pmb{\frak { Volume_((cone) )= (1)/(3) \: \pi {r}^(2)h }}}}}}} \\ \\`

Where,

• r refers to the radius of the cone. As the diameter is 14 ft, therefore the radius will 7 ft.

• h refers to the height of the cone.

Now, we will substitute the values in the formula :

`\\ {\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_((cone) )= (1)/(3) * 3.14 * {(7)}^(2) * 11 }}}}}}} \\ \\`

`{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_((cone) )= (1)/(3) * 3.14 * 49 * 11 }}}}}}} \\ \\`

`{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_((cone) )= (1)/(3) * 3.14 * 539 }}}}}}} \\ \\`

`{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_((cone) )= (1)/(3) * 1692.46 }}}}}}} \\ \\`

`{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_((cone) )= (1692.46)/(3) }}}}}}} \\ \\`

`{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_((cone) )= \: \: \underline{ \boxed{ \frak{564.15 } }} }}}}}}} \: \: \bigstar \\ \\`

Therefore,

• The volume of the cone is 564.15 ft³ .