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

Answer:

• 564.15 cubic ft

$\:$

Step-by-step 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 :

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

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 :

$\\ {\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1}{3} \times 3.14 \times {(7)}^{2} \times 11 }}}}}}}$

${\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1}{3} \times 3.14 \times 49 \times 11 }}}}}}}$

${\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1}{3} \times 3.14 \times 539 }}}}}}}$

${\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1}{3} \times 1692.46 }}}}}}}$

${\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1692.46}{3} }}}}}}}$

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

Therefore,

• The volume of the cone is 564.15 ft³ .

Answer 2

Step-by-step 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.