Consider a set of points R in the space which is at a distance of 2 units from the line x1=y−1−1=z+22 between the planes x-y+2z+3=0 and x-y+2z-2=0.
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a
The volume of the bounded figure by points .R and the planes is (10/33)π sq. units.
b
The area of the curved surface formed by the set of points R is (20π/6) sq. units.
c
The volume of the bounded figure by the set of points R and the planes is (20π/6) cubic units
d
The area of the curved surface formed by the set of points R is (10/3)π sq. units.
answer is B.
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Detailed Solution
Distance between the planes is h=56Also the figure formed is a cylinder, whose radius is r:2 units. Hence, the volume of the cylinder is πr2h=π(2)2⋅56=20π6 cubic units. Also the curved surface area is 2πrh=2π(2)⋅56=20π6