Respuesta :
Answer:
44 pi inches^3
Step-by-step explanation:
i did the same flocab :)
The total volume of the ice cream which is completely filled in the cone and the spherical scoop of ice cream on top of the cone is 26π in³.
What is of volume of cone?
Volume of cone is the amount of quantity, which is obtained it in the 3 dimensional space.
The volume of the cone can be given as,
[tex]V=\dfrac{1}{3}\pi r^2h[/tex]
Here, (r) is the radius of the base of the cone and (h) is the height of the cone.
An ice cream cone that is 6 inches tall with a radius of 2 inches is completely filled with ice cream. Thus, the volume of this ice cream is,
[tex]V=\dfrac{1}{3}\pi (2)^2(6)\\V=8\pi\rm\; in^3[/tex]
There is also a spherical scoop of ice cream on top of the cone with a radius of 3 inches. The volume of it is equal to the hemisphere.
The volume of the hemisphere can be calculated with the following formula.
[tex]V=\dfrac{2}{3}\pi r^3[/tex]
Here, {r} is the radius of the hemisphere. Thus, the volume of the scoop is,
[tex]V=\dfrac{2}{3}\pi (3)^3\\V=18\pi[/tex]
The total volume of ice cream is,
[tex]V=8\pi +18\pi\\V=26\pi[/tex]
Thus, the total volume of the ice cream which is completely filled in the cone and the spherical scoop of ice cream on top of the cone is 26π in³.
Learn more about the volume of cone here;
https://brainly.com/question/26666727
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