Question

Find the volume of the cone in cubic feet. Use 3.14 for it and round your answer to the nearest tenth.

Answer 1

To find the volume of a cone, use the formula V = (1/3)πr²h, substituting the given values and rounding the answer to the nearest tenth.

Step-by-step explanation:

To find the volume of a cone, we use the formula V = (1/3)πr²h, where V is the volume, π is approximately 3.14, r is the radius of the base, and h is the height of the cone. First, calculate the volume by substituting the given values into the formula: V = (1/3) * 3.14 * 7.5² * 10.5. Simplify the expression and round the answer to the nearest tenth.

V = (1/3) * 3.14 * 56.25 * 10.5 = 186.19425. Rounded to the nearest tenth, the volume of the cone is approximately 186.2 cubic feet.

Answer 2

Ⲁⲛ⳽ⲱⲉⲅ:

`\quad\hookrightarrow\quad \sf {5,790,806.5\:ft^3 }`

Ⲋⲟⳑⳙⲧⳕⲟⲛ:

Here, we area provided a cone with:

• Radius = 48m
• Height = 68 m

We have to find the volume of the cone in feet³, and we are given that 1m = 3.2808ft

Ⳙ⳽ⲓⲛⳋ ⳨ⲟⲅⲙⳙⳑɑ:

The volume of a cone is equal to one third of the volume of a cylinder having the same base radius and height ,i.e:

`\quad\longrightarrow\quad \sf { V =(1)/(3)\pi r^2 h }`

Therefore, Volume:

`\implies\quad \tt {V = (1)/(3)\pi r^2 h }`

`\implies\quad \tt { V =(1)/(3)* 3.14 * 48^2 * 68 }`

`\implies\quad \tt { V =\frac{1}{\cancel{3}}* 3.14* \cancel{2304} * 68}`

`\implies\quad \tt {V =3.14* 768* 68 }`

`\implies\quad \tt {V = 163,983.36}`

`\implies\quad \tt { V = 163,983.36 * (3.2808)^3 \qquad\quad\bigg[ As, \: 1m = 3.2808ft\bigg]}`

`\implies\quad \tt {V = 163,983.36* 35.30 }`

`\implies\quad\underline{\pmb{ \tt { V = 5,790,806.5 ft^3}}}`

‎ㅤ‎ㅤ‎ㅤ~Hence, the volume of given cone is 5,790,806.5 ft³.