Respuesta :
Ice cream cone is usually approximately shape of right circular cone. The volume of ice cream that fills the cone to the top is 39.25 cubic inches approximately.
How to find volume of a right circular cone?
Let the right circular cone in consideration be having radius of base as r units and height of h units.
Then, its volume is given as:
[tex]V = \dfrac{1}{3} \pi r^2 h \: \rm unit^3[/tex]
The considered ice cream cone has got the diameter of the top(which is the base of the cone) of 5 inches.
Since the radius of a circle is half of its diameter, thus,
Radius of base of cone = 5/2 = 2.5 inches.
Height of the ice cream cone given = 6 inches.
Thus, the volume of the ice cream that can be filled in the ice cream = space inside the cone = volume of the ice cream cone.
Volume of the cone is obtained as:
[tex]V \approx \dfrac{1}{3} \times 3.14 \times (2.5)^2 \times 6 \: \rm inch^3\\\\V \approx 6.28 \times 6.25 = 39.25 \: inch^2[/tex]
Thus, The volume of ice cream that fills the cone to the top is 39.25 cubic inches approximately.
Learn more about volume of a cone here:
https://brainly.com/question/26093363
