Respuesta :
Volume of a cone: V = 3.14r^2[tex]\frac{h}{3}[/tex]
V = 3.14*2.5^2*6/3
= 3.14*6.25*2
= 39.25
The volume of the ice cream must be 39.25 in^3
Answer: [tex]39.25\ in^3[/tex]
Step-by-step explanation:
We know that the volume of cone is given by :-
[tex]V=\dfrac{1}{3}\pi r^2h[/tex], where r is radius and h is height of the cone.
Given : Diameter of cone = 5 inches
Radius = [tex]\dfrac{5}{2}=2.5\ inches[/tex]
Height = 6 inches
Then, the volume of the cone will be :-
[tex]V=\dfrac{1}{3}(3.14)(2.5)^2(6)=39.25\ in^3[/tex]
Hence, the volume of the ice cream that completely fills the cone = [tex]39.25\ in^3[/tex]