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A cone-shaped hole is cut out of a cube. How much of the cube is left? Round your answer to the nearest cubic centimeter.

A cone-shaped hole is cut out of a cube. How much of the cube is left? Round your-example-1
User Alvin Bakker
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1 Answer

11 votes
11 votes

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}}

User Mr Alihoseiny
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