Question

Find the volume of a cone that has a radius of 8 meters and a height of 9 meters. Use 3.14 for pi

Answer 1

Volume of cone = 1/3 Area of base × height

= 1/3× πr² × h

= 1/3×3.14×8²×9

= 602.88 m³

Answer 2

• 602.44 cubic meters

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Explanation:

In the question, it is given that a cone has a radius of 8 meters and a height of 9 meters 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.

• 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 * {(8)}^(2) * 9 }}}}}}} \\ \\`

`{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_((cone) )= (1)/(3) * 3.14 * 64 * 9 }}}}}}} \\ \\`

`{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_((cone) )= (1)/(3) * 3.14 * 576 }}}}}}} \\ \\`

`{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_((cone) )= (1)/(3) * 1808 .64 }}}}}}} \\ \\`

`{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_((cone) )= (1808 .64)/(3) }}}}}}} \\ \\`

`{\longrightarrow{ \qquad{{ {\pmb{\frak { Volume_((cone) )= 602.88 }}}}}}} \\ \\`

Therefore,

• The volume of the cone is 602.88 m³