Given:
[tex]\text{ Diameter}=15\text{ in. Height}(h)=23\text{ in.}[/tex]
Required:
We have to find the volume of the cone.
Explanation:
The radius(r) of the cone will be
[tex]\frac{15}{2}\text{ in.}[/tex]
Therefore, the volume of the cone is
[tex]\begin{gathered} \frac{1}{3}\pi r^2h \\ \\ =\frac{1}{3}\pi(\frac{15}{2})^2\times23. \end{gathered}[/tex][tex]\begin{gathered} =\frac{1}{3}\times\pi\times\frac{225}{4}\times23 \\ \\ =\frac{5175\pi}{12} \end{gathered}[/tex][tex]=1354.81\text{ in}^3.[/tex]
Final answer:
Hence the final answer is
[tex]1354.81\text{ in}^3.[/tex]
