A 4-in. hole has been bored through a 6-in cube. What is the approximate volume of the remaining solid? Use 3.14 for n

Question

saylilbaby · Answer

@Directrix i found the answer for last one please help

saylilbaby · Answer

i think the answer is 216in^3 @Directrix is that right?/

saylilbaby · Answer

@ganeshie8 is this right??

adamaero · Answer

you've just found the volume of the whole cube

take the equation for a circle w/ the diameter of 4"
and multiply that by the 6" worth of height 
~subtract this from the  216in^3

directrix · Answer

This is the classic hole in a sphere problem. Slighty tricky, some would say. The answer is independent of the radius of the sphere and the diameter of the hole. The total volume of the sphere and the volume removed however do depend on the radii. Note that the volume removed is a cylinder with two spherical caps. http://mathnotations.blogspot.com/2008/01/boring-volume-problem-or-if-you-find.html @Saylilbaby

anonymous · Answer

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