Multiply the total volume of the liquid in cubic inches times the price per cubic inch to find the total value of the liquid.
The volume of a cone with diameter D and height h is given by:
[tex]V=\frac{1}{12}\pi D^2h[/tex]
Replace D=2.5 and h=9 to find the volume of the cone in cubic inches. Use 3.14 for the constant π:
[tex]V=\frac{1}{12}(3.14)(2.5)^2(9)=14.71875[/tex]
Since the price of the liquid is $2 per cubic inch, multiply the volume by 2 to find the value of the liquid in the container:
[tex]2\times14.71875=29.4375[/tex]
To the nearest cent, the value of the liquid in the container is equal to $29.44.
Therefore, the answer is $29.44.
