Answer :
Answer:[tex]2355.31\ cm^3[/tex]
Step-by-step explanation:
Given
diameter of the cone is [tex]d=23\ cm\quad [r=\frac{d}{2}=11.5\ cm][/tex]
The height of the cone is [tex]h=17\ cm[/tex]
The volume of a cone is [tex]V=\dfrac{1}{3}\pi r^2h[/tex]
Insert the values
[tex]\Rightarrow V=\dfrac{1}{3}\times \dfrac{22}{7}\times 11.5^2\times 17=2355.309\\\\\Rightarrow V\approx 2355.31\ cm^3[/tex]
Thus, the volume of the cone is [tex]2355.31\ cm^3[/tex]