Answer:14.13 cubic inch
Step-by-step explanation:
Radius(r)=diameter ➗ 2
Radius(r)=3/2
r=1.5
Height(h)=6
π=3.14
volume=(π x r^2 x h) ➗ 3
Volume=(3.14x(1.5)^2x6) ➗ 3
Volume=(3.14x1.5x1.5x6) ➗ 3
Volume=42.39 ➗ 3
Volume=14.13
Volume=14.13 cubic inch
The amount of ice cream which can just the cone hold having the diameter of 3 inches and the height of 6 inches is 14.14 in³.
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 has a diameter of 3 inches and a height of 6 inches. The radius of the cone is half of the diameter of it. Thus, the radius of the cone is,
[tex]r=\dfrac{3}{2}\\r=1.5\rm\; in[/tex]
Put the values in the above formula as,
[tex]V=\dfrac{1}{3}\pi (1.5)^2(6)\\V=14.14\rm\; in^3[/tex]
Thus, the amount of ice cream which can just the cone hold having the diameter of 3 inches and the height of 6 inches is 14.14 in³.
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