Answer:
191
Explanation:
The volume left equals
Volume lefft = volume of the cube - the volume of the cone
Now
[tex]cube\; volume=6\operatorname{cm}\times6\operatorname{cm}\times6\operatorname{cm}=216\operatorname{cm}[/tex]
and
[tex]cone\; volume=\frac{\pi r^2h}{3}[/tex]
since r = 2 cm and h = 6 cm, we have
[tex]cone\; volume=\frac{\pi(2)^2\cdot6}{3}=8\pi\; cm^3[/tex]
Hence,
[tex]volume\; left=216\operatorname{cm}-8\pi cm^3[/tex][tex]volume\; left=190.867\operatorname{cm}^3[/tex]
rounded to the nearest cubic centimeter gives
[tex]\boxed{volume\; left=191\operatorname{cm}}[/tex]
