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Answer:
[tex]\displaystyle V\approx 769.7\text{ in}^3[/tex]
Step-by-step explanation:
We are given that the diameter of the sand-shaped cone is 14 inches, and the height is 15 inches.
The volume for a cone is given by:
[tex]\displaystyle V=\frac{1}{3}\pi r^2h[/tex]
Where r is the radius and h is the height.
Since the diameter is 14, the radius is 7.
And we are given that the height is 15.
Therefore, the volume will be:
[tex]\displaystyle V=\frac{1}{3}\pi (7)^2(15)[/tex]
Use a calculator:
[tex]\displaystyle V\approx 769.7\text{ in}^3[/tex]
The volume of the cone is approximately 769.7 cubic inches.