Answer:
![39.25\ in^3](https://img.qammunity.org/2019/formulas/mathematics/college/erm0fuixs7f6fc1qr8d96gkx14af9jtam1.png)
Explanation:
We know that the volume of cone is given by :-
, where r is radius and h is height of the cone.
Given : Diameter of cone = 5 inches
Radius =
![(5)/(2)=2.5\ inches](https://img.qammunity.org/2019/formulas/mathematics/college/7trq2ckid1ryby4900wwo3vvnyf7fhy88d.png)
Height = 6 inches
Then, the volume of the cone will be :-
![V=(1)/(3)(3.14)(2.5)^2(6)=39.25\ in^3](https://img.qammunity.org/2019/formulas/mathematics/college/mk0yju53dp96taecnztusdr88v2j8svhej.png)
Hence, the volume of the ice cream that completely fills the cone =
![39.25\ in^3](https://img.qammunity.org/2019/formulas/mathematics/college/erm0fuixs7f6fc1qr8d96gkx14af9jtam1.png)