Solution:
Given:
The figure given is a cone.
[tex]\begin{gathered} where: \\ d=14cm \\ h=22cm \\ \\ Hence,\text{ } \\ r=\frac{d}{2}=\frac{14}{2} \\ r=7cm \end{gathered}[/tex]
The volume of a cone is given by:
[tex]\begin{gathered} V=\frac{1}{3}\pi r^2h \\ V=\frac{1}{3}\times\pi\times7^2\times22 \\ V=\frac{1078\pi}{3} \\ V=1128.879 \\ \\ To\text{ 2 decimal places;} \\ V\approx1128.88cm^3 \end{gathered}[/tex]
Therefore, the volume of the cone is 1128.88 cubic centimeter.
