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Consider a set of point Rin which is at a distance of 2 units from the line (x)/(1)= (y-1)/(-1)= (z+2)/(2) between the planes x-y+2z=3=0 and x-y+2z-2=0. |
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Answer» The volume of the bounded figure by POINTS R and the planes is `(10//3sqrt3)pi` cube units. ALSO the figure formed is a CYLINDER, whose radius is `r=2` units. Hence, the volume of the cylinder is `""pir^(2)h= pi(2)^(2)*(5)/(sqrt6)= (20pi)/(sqrt6)` cubic units. Also the curved surface area is `""2pirh= 2pi(2)*(5)/(sqrt(6))= (20pi)/(sqrt6)` |
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