Given the radius (r) and the height (h) of the sugar cone:
[tex]\begin{gathered} r=1.7\text{ }in \\ h=4.6\text{ }in \end{gathered}[/tex]
You can find the number of cubic inches that will fit inside the cone, by applying the formula for calculating the volume of a cone:
[tex]V=\frac{\pi r^2h}{3}[/tex]
Where "r" is the radius and "h" is the height.
Then, by substituting values into the formula and then evaluating, you get:
[tex]V=\frac{\pi(1.7\text{ }in)^2(4.6\text{ }in)}{3}[/tex][tex]V\approx13.92\text{ }in^3[/tex]
Hence, the answer is:
[tex]13.92\text{ }in^3\text{ \lparen approximately\rparen}[/tex]
