Respuesta :
The waffle cone can hold 6.284 meter cube of ice cream
Step-by-step explanation:
Given,
Diameter of the cone= 2 inches
Radius (r) = 2/2 = 1 inch
Height of the cone (h) = 6 inches
As the waffle cone is in the form of cone, we should find the volume of the cone to find the how much ice cream can the waffle hold.
Volume of the cone = (1/3) ( π x r x r x h)
= (1/3) ( 3.142 x 1 x 1 x 6)
= 6.284 inches cube
The waffle cone can hold 6.284 inches cube of ice cream in it.
We can round it of to 6 cubic inches.
The volume of the Ice cream does the waffle cone hold, which Elise fills with ice cream exactly level to the top of the cone, is 28 in³.
What is of volume of cone?
Volume of cylinder is the amount of quantity, which is obtained by the solid or object 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 cylinder and (h) is the height of the cylinder.
Elise fills a waffle cone with ice cream exactly level to the top of the cone. The cone has,
- A diameter of 2 inches
- A height of 6 inches,
The radius is of the cone is half of the diameter. As the cone has a diameter of 2 inches, the radius of it is 1 inches.
[tex]r=\dfrac{d}{2}\\r=\dfrac{2}{2}\\r=1\rm\; in[/tex]
Thus, the volume of the cone is,
[tex]V=\dfrac{1}{3}\pi (1)^2(6)\\V=6.2832\\V\approx28\rm\; in^3[/tex]
Hence, the volume of the Ice cream does the waffle cone hold, which Elise fills with ice cream exactly level to the top of the cone, is 28 in³.
Learn more about the volume of cone here;
https://brainly.com/question/1082469