SOLUTION: The diagonal of a solid is an imaginary straight line connecting two vertices of the solid which are not in the same face. Given a cube of edge a: (a) find the length of its diago

Algebra ->  Volume -> SOLUTION: The diagonal of a solid is an imaginary straight line connecting two vertices of the solid which are not in the same face. Given a cube of edge a: (a) find the length of its diago      Log On


   



Question 935256: The diagonal of a solid is an imaginary straight line connecting two vertices of the solid which are not in the same face. Given a cube of edge a:
(a) find the length of its diagonal.
(b) find the volume of the waste material made by cutting the largest regular
cylinder from it.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The diagonal of a solid is an imaginary straight line connecting two vertices of the solid which are not in the same face. Given a cube of edge a:
(a) find the length of its diagonal.
d+=+a%2Asqrt%283%29
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(b) find the volume of the waste material made by cutting the largest regular
cylinder from it.
Vol of the cube = a^3
Not sure what a "regular cylinder" is, but the largest that can be made is:
r = a/2 and h = a
Vol+=+pi%2Ar%5E2%2Ah
Waste = a^3 - volume of cylinder.