1 Answer

Felix Cen · Answer 1 · 2023-05-11T20:47:26+0000

Answer:

191

Step-by-step explanation:

The volume left equals

Volume lefft = volume of the cube - the volume of the cone

Now

$cube\; volume=6\operatorname{cm}*6\operatorname{cm}*6\operatorname{cm}=216\operatorname{cm}$

and

$cone\; volume=(\pi r^2h)/(3)$

since r = 2 cm and h = 6 cm, we have

$cone\; volume=(\pi(2)^2\cdot6)/(3)=8\pi\; cm^3$

Hence,

$volume\; left=216\operatorname{cm}-8\pi cm^3$
$volume\; left=190.867\operatorname{cm}^3$

rounded to the nearest cubic centimeter gives

$\boxed{volume\; left=191\operatorname{cm}}$

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