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

Answer:

The volume of the cone is;

$83.73ft^3$

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;

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

Substituting the given values;

$\begin{gathered} V=\frac{1}{12}\pi d^2h \\ V=\frac{1}{12}\times(3.14)\times(8)^2\times5 \\ V=83.73ft^3 \end{gathered}$

Therefore, the volume of the cone is;

$83.73ft^3$