A machinist drilled a cone-shaped hole into a solid cube of metal as shown. If the cube's sides have a length of 4 centimeters, what is the volume of the metal cube after the cone is drilled? Use 3.14 for pi and round your answer to the nearest tenth.

Question

anonymous · Answer

what is the formula for the volume of a cone?

anonymous · Answer

http://en.wikipedia.org/wiki/Cone_(geometry)

anonymous · Answer

Calculate the volume of the cube and then subtract the volume of the cone.

anonymous · Answer

|dw:1344110210551:dw|

anonymous · Answer

how would i find the volume of the cone though?

anonymous · Answer

It's in the wikipedia link.

anonymous · Answer

1/3 pi r^2 h

anonymous · Answer

yeah but i dont have the height or anything

anonymous · Answer

i meant the radius

anonymous · Answer

would it be 2?

anonymous · Answer

Look at your picture.  You have the height.

anonymous · Answer

which would be 4 right?

kainui · Answer

Yes, the diameter of the cone at the base is the length, you see?And the height is the same as the cube, so it turns out you have all you need right there.

anonymous · Answer

alright thats where i was confused. thank you!