Answer:
[tex]V=235.1\ cm^3[/tex]
Step-by-step explanation:
Volume of a Cone
The volume of a right circular cone with height h and a base radius r is:
[tex]\displaystyle V=\frac{1}{3}\pi r^2 h[/tex]
The height of the given cone is h=4.1 cm and its diameter is d=14.8 cm. Since the radius is half the diameter, r=7.4 cm.
Calculate the volume:
[tex]\displaystyle V=\frac{1}{3}\pi\cdot 7.4^2\cdot 4.1[/tex]
[tex]\displaystyle V=\frac{1}{3}\pi\cdot 54.76\cdot 4.1[/tex]
[tex]\displaystyle V=\frac{1}{3}\pi\cdot 224.516[/tex]
[tex]\boxed{V=235.1\ cm^3}[/tex]
