SOLUTION: A right circular cone is inside a cube. The base of the cone is inscribed in one face of the cube and its vertex in the opposite face. Express the volume of the region between the
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Question 1199865: A right circular cone is inside a cube. The base of the cone is inscribed in one face of the cube and its vertex in the opposite face. Express the volume of the region between the cone and the cube in terms of s where s denotes the length of the edge of the cube. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! A right circular cone is inside a cube. The base of the cone is inscribed in one face of the cube and its vertex in the opposite face.
Express the volume of the region between the cone and the cube in terms of s where s denotes the length of the edge of the cube.
:
We know: s^3 = vol of cube; also s = the height of the cube; .5s = the radius
therefore * the volume of the cube
which is * *
Cube vol - cone vol = region outside the cone, inside the cube
V = - (*)
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