Explanation
Part 1
The cone shown is oblique. The formula to find the volume of an oblique cone and a right cone is the same. That formula is:
[tex]\begin{gathered} V=\frac{1}{3}\pi r^2h \\ \text{ Where} \\ V\text{ is the volume} \\ r\text{ is the radius of the base} \\ h\text{ is the height} \end{gathered}[/tex]
In this case, we have:
[tex]\begin{gathered} r=\frac{\text{ Diameter}}{2}=\frac{10ft}{2}=5ft \\ h=3ft \end{gathered}[/tex][tex]\begin{gathered} V=\frac{1}{3}\pi r^2h \\ V=\frac{1}{3}\pi(5ft)^2(3ft) \\ V=\frac{1}{3}\pi(25ft^2)(3ft) \\ V=\pi(25ft^3) \\ V=25\pi ft^3 \end{gathered}[/tex]
Part 2
Using a calculator, we multiply 25 by π and round to the nearest whole number.
[tex]\begin{gathered} 25\cdot\pi\approx79 \\ V\approx79ft^3 \\ \text{ The symbol }\approx\text{ is read 'approximately'.} \end{gathered}[/tex]Answer
Part 1. The volume of the cone in terms of π is 25π cubic ft.
Part 2. The volume rounded to the nearest cubic foot is about 79 cubic ft.
