The volume V of a cone with radius r and height h is given by the formula:
[tex]V=\frac{1}{3}\pi r^2\times h[/tex]Substitute r=3ft and h=10ft to find the volume of the cone:
[tex]\begin{gathered} V=\frac{1}{3}\pi\times(3ft)^2\times10ft \\ =\frac{1}{3}\pi\times90ft^3 \\ =\pi\times30ft^3 \\ =94.24777961\ldots ft^3 \end{gathered}[/tex]Therefore, the volume of the cone is 30π cubic feet, which is equal to 94 cubic feet (to the nearest whole number).
