First slide
Planes in 3D
Question

Consider a set of points R in the space which is at a distance of 2 units from the line  x1=y11=z+22 between the planes

 x-y+2z+3=0 and x-y+2z-2=0.

Moderate
Solution

Distance between the planes is h=56

Also the figure formed is a cylinder, whose radius is r:2 units. 

Hence, the volume of the cylinder is  πr2h=π(2)256=20π6 cubic units. 

Also the curved surface area is 2πrh=2π(2)56=20π6

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