Question

Determine the volume of cone. Use 3.14 for 7.
5 m
14 m
r
m3

Answer 1

Given :-

• Base radius = 5m
• Height = 14m

To Find :-

• Volume of cone

Solution :-

• Volume of cone = 1/3πr²h

Putting the known values ,

Volume = 1/3×3.14×5²×14 m³

Volume = 366.33 m³

Answer 2

• 366.33 cubic meters

`\:`

Explanation:

In the question, it is given that a cone has a radius of 5 meters and a height of 14 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{{ {\pmb{\sf { 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 * 25 * 14 }}}}}}} \\ \\`

`{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_((cone) )= (1)/(3) * 3.14 * 350 }}}}}}} \\ \\`

`{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_((cone) )= (1)/(3) * 1099 }}}}}}} \\ \\`

`{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_((cone) )= (1099)/(3)}}}}}}} \\ \\`

`{\longrightarrow{ \qquad{{ {\pmb{\frak { Volume_((cone) )= 366.33}}}}}}} \\ \\`

Therefore,

• The volume of the cone is 366.33 m³