Answer: [tex]1,230.88\ cm^3[/tex]
Step-by-step explanation:
The volume of the toy ice cream cone is the sum of the volume of the cone ([tex]V_{c}[/tex]) and the volume of the half-sphere ([tex]V_{hs}[/tex]):
[tex]V_{toy}=Vc+V_{hs}[/tex]
The formula for calculate the volume of a cone is:
[tex]V_c=\frac{\pi r^2h }{3}[/tex]
Where "r" is the radius and "h" is the height.
In this case:
[tex]r=7\ cm\\h=10\ cm[/tex]
The formula for calculate the volume of a half-sphere is:
[tex]V_{hs}=\frac{2}{3}\pi r^3[/tex]
Where "r" is the radius.
In this case:
[tex]r=7\ cm[/tex]
Subsituting values, we get:
[tex]V_{toy}=\frac{(3.14)(7\ cm)^2(10\ cm)}{3}+\frac{2}{3}(3.14)(7\ cm)^3=1,230.88\ cm^3[/tex]
