We have been given that the circular opening of an ice cream cone has a diameter of 7 centimeters. The height of the cone is 10 centimeters. We are asked to find the volume of the ice-cream cone.
We will use volume of cone formula to solve our given problem.
[tex]V=\frac{1}{3}\pi r^2 h[/tex], where
r = Radius of cone,
h = Height of cone.
We know that diameter is two times the radius, so radius will be half of diameter that is [tex]r=\frac{7}{2}[/tex].
[tex]V=\frac{1}{3}\pi\cdot (\frac{7}{2})^2\cdot 10[/tex]
[tex]V=\frac{1}{3}\pi\cdot (\frac{49}{4})\cdot 10[/tex]
[tex]V=128.2817[/tex]
[tex]V\approx 128.3[/tex]
Therefore, the volume of the cone would be approximately 128.3 cubic cm.
