Answer:
[tex]V=796.92\ m^3[/tex]
Step-by-step explanation:
Given that,
Height of the cone , h = 16 m
The diameter of the cone, d = 25 m
Radius of the cone, r = 12.5 cm
We need to find the volume of the conical shaped sculpture. The volume of a cone is given by :
[tex]V=\pi rl[/tex]
l is the slant height of the cone, [tex]l=\sqrt{r^2+h^2}[/tex]
[tex]V=\pi r \sqrt{r^2+h^2}\\\\V=3.14\times 12.5\times \sqrt{(12.5)^2+16^2} \\\\V=796.92\ m^3[/tex]
So, the volume of the sculpture is [tex]796.92\ m^3[/tex].
