Answer to Question #195686 in Civil and Environmental Engineering for JOEL REY

Question #195686

1.Find the centroid of the region bounded by the curve 𝑦 = 𝑥3 and 𝑦 = 4𝑥 in the first quadrant.


2. Find the centroid of the solid of revolution generated by revolving the region bounded by 𝑦 = 4𝑥 − 𝑥2 and the x-axis about the y-axis.


1
Expert's answer
2021-05-24T08:01:02-0400

1

2

we are interested in the point in the first quadrant, the transition point is

where v = volume

finally we find the the centroid:



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