Erin wants to find the volume inside a particular surface of revolution. The mathematical shape Gabriel's horn is created by rotating the function 1/x about the x-axis to create a long, tapered trumpet- like shape. Its volume along the interval from x=1 to x=a is given by th
Erin wants to find the volume inside a particular surface of revolution. The mathematical shape Gabriel's horn is created by rotating the function 1/x about the x-axis to create a long, tapered trumpet- like shape. Its volume along the interval from x=1 to x=a is given by the integral of the product pi and the square of the function, which gives the equation V= pi(1-1/a). ["pi times the quantity one minus one over a"] If the horn is infinitely long, that is, if we allow a to approach infinity, what value will the horn's volume approach? You have fifteen seconds.
Erin wants to find the volume inside a particular surface of revolution.
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