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

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:

$\quad\longrightarrow\quad \sf { V =\dfrac{1}{3}\pi r^2 h }$

Therefore, Volume:

$\implies\quad \tt {V = \dfrac{1}{3}\pi r^2 h }$

$\implies\quad \tt { V =\dfrac{1}{3}\times 3.14 \times 48^2 \times 68 }$

$\implies\quad \tt { V =\dfrac{1}{\cancel{3}}\times 3.14\times \cancel{2304} \times 68}$

$\implies\quad \tt {V =3.14\times 768\times 68 }$

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

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

$\implies\quad \tt {V = 163,983.36\times 35.30 }$

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

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