Since we wish to fill the cone, we are looking for its volume. The volume of a cone is given by the equation [tex]V= \pi r^{2}( \frac{h}{3}) [/tex] where h is the height (here 17.7 inches) and r is the radius of the top (here 1.8 inches).
We substitute the values given into the formula to obtain:
[tex]V= \pi (1.8)^{2}( \frac{17.7}{3})=19.116 \pi [/tex]. This is the exact volume of the cone in cubic inches.
If you are asked instead for an approximate value you can substitute 3.14 for pi and obtain instead: 60.05469 cubic inches.
