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hey there im working on another problem. can you follow me.
well the student isnt responding, ok
i know i need to write an integration for the disc formed by roation but i don't know how
waityour problem doesnt make sense
it says bounded by x =0, y=0, y=1 , x=1 , then to the right of x=1 ?
Find the volume of the infinitely long horn that is generated by rotating the region bounded by y = 1/x and y = 0 and lying to the right of x = 1 about the x-axis. sorry for the error
ok so integral pi (1/x)^2 from 1 to infinity
ohk so the infinity part just means that upper limit is infinity :)
so you get -pi x^-1 from 1 to infinity,
so -pi / infinity - ( - pi / 1) = 0 + pi = pi
make me fan
already did :)
so whats interesting about this, there is no bottom to this horn, so water can travel infinitely, but , the volume is finite?
i mean if you think of the volume as being submerged in water, you would think, ok , how can this "water bottle horn" have pi units of water