Given:
The height of the right circular cone is 12.4 in
The diameter of the right circular cone is 15.6 in.
We need to determine the volume of the right circular cone.
Radius of the right circular cone:
The radius of the right circular cone is given by
[tex]r=\frac{d}{2}[/tex]
[tex]r=\frac{15.6}{2}[/tex]
[tex]r=7.8 \ in[/tex]
Thus, the radius of the right circular cone is 7.8 in.
Volume of the right circular cone:
The volume of the right circular cone can be determined using the formula,
[tex]V=\frac{1}{3} \pi r^2 h[/tex]
Substituting the values, we have;
[tex]V=\frac{1}{3} (3.14)(7.8)^2(12.4)[/tex]
[tex]V=\frac{1}{3} (3.14)(60.84)(12.4)[/tex]
[tex]V=\frac{2368.866}{3}[/tex]
[tex]V=789.622[/tex]
Rounding off to the nearest tenth, we get;
[tex]V=789.6 \ in^3[/tex]
Thus, the volume of the right circular cone is 789.6 cubic inch.
Answer: 790.0 in^3
Step-by-step explanation:
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