Question
Find the volume of the solid generated when the region bounded by
y= sqrt(1/(x(5-x))), y=0, x=3, and x=4 is revolved about the x-axis. Round answer to four decimal places.
y= sqrt(1/(x(5-x))), y=0, x=3, and x=4 is revolved about the x-axis. Round answer to four decimal places.
Answers
8.7402
AAAaannndd the bot gets it wrong yet again!
using discs of thickness dx,
v = ∫[3,4] πr^2 dx
where r=y = √(1/(x(5-x))
v = π∫[3,4] 1/(x(5-x) dx = π/5 ln(8/3)
using discs of thickness dx,
v = ∫[3,4] πr^2 dx
where r=y = √(1/(x(5-x))
v = π∫[3,4] 1/(x(5-x) dx = π/5 ln(8/3)
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