Answer: The required volume of the ice-cream cone is 5.23 sq. inches.
Step-by-step explanation: Given that an ice cream cone has a diameter of 2 inches and a height of 5 inches.
We are to find the volume of the ice-cream cone.
The VOLUME of a cone with radius r units and height h units is given by
[tex]V=\dfrac{1}{3}\pi r^2h.[/tex]
The diameter of the given ice-cream cone is 2 inches, so its radius will be
[tex]r=\dfrac{2}{2}\\\\\Rightarrow r=1~\textup{inch}.[/tex]
And, height, h = 5 inches.
Therefore, the volume of the given ice-cream cone will be
[tex]V\\\\\\=\dfrac{1}{3}\pi r^2h\\\\\\=\dfrac{1}{3}\times3.14\times 1^2\times5\\\\\\=\dfrac{1}{3}\times 15.7\\\\=5.23~\textup{sq. inches.}[/tex]
Thus, the required volume of the ice-cream cone is 5.23 sq. inches.
