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

Answer:

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

= 1/3× πr² × h

= 1/3×3.14×8²×9

= 602.88 m³

Answer 2

Answer:

• 602.44 cubic meters

$\:$

Step-by-step 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 :

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

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 :

$\\ {\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1}{3} \times 3.14 \times {(8)}^{2} \times 9 }}}}}}}$

${\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1}{3} \times 3.14 \times 64 \times 9 }}}}}}}$

${\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1}{3} \times 3.14 \times 576 }}}}}}}$

${\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1}{3} \times 1808 .64 }}}}}}}$

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

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

Therefore,

• The volume of the cone is 602.88 m³