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Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = (64 −...Asked by Rob
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.
y = 3sqrt64 − x^2, y = 0, x = 4, x = 5 about the x-axis
y = 3sqrt64 − x^2, y = 0, x = 4, x = 5 about the x-axis
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Answered by
oobleck
using discs,
v = ∫[4,5] πr^2 dx
where r = y = 3√(64-x^2)
v = ∫[4,5] π*9(64-x^2) dx
v = ∫[4,5] πr^2 dx
where r = y = 3√(64-x^2)
v = ∫[4,5] π*9(64-x^2) dx
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