We have a cone with a height h = 34 ft and radius r = 14/2 = 7 ft.
We can draw it as:
The volume of a cone can be calculated as:
[tex]V=\frac{1}{3}A_bh=\frac{1}{3}\pi r^2h[/tex]
If we replace r with 7, h with 34 and pi with 3.14, we get:
[tex]\begin{gathered} V=\frac{1}{3}\cdot3.14\cdot(7)^2\cdot34 \\ V=\frac{1}{3}\cdot3.14\cdot49\cdot34 \\ V\approx1743.75\text{ ft}^3 \end{gathered}[/tex]
Answer: the volume of the cone is approximately 1743.75 cubic feet.
