Question

8. The cone shown below has a circular base with a diameter of 8 feet. 8 feet 5 feet What is the volume of the cone? Use 3.14 for n.

Answer 1

The volume of the cone is;

`83.73ft^3`

Step-by-step explanation:

Given the cone with diameter 8 feet and height 5 feet;

`\begin{gathered} d=8\text{ f}eet \\ h=5\text{ f}eet \end{gathered}`

The volume of cone can be calculated using the formula;

`\begin{gathered} V=(1)/(3)\pi r^2h \\ V=(1)/(3)\pi((d)/(2))^2h \\ V=(1)/(3)\pi((d^2)/(4))h \\ V=(1)/(12)\pi d^2h \end{gathered}`

Substituting the given values;

`\begin{gathered} V=(1)/(12)\pi d^2h \\ V=(1)/(12)*(3.14)*(8)^2*5 \\ V=83.73ft^3 \end{gathered}`

Therefore, the volume of the cone is;

`83.73ft^3`