The region bounded by the curve y=sqrt{x}, the x-axis and the line x=4 is revolved about y-axis to generate a solid. Find the volume of solid

umm82i

umm82i

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2022-08-26

Finding volume of the solid
The region bounded by the curve y = x , the x-axis and the line x = 4 is revolved about y-axis to generate a solid. Find the volume of solid.
I found 32 π / 5? But answer is wrong. Where did I wrong?
Volume   y = π 0 2 [ A ( y ) ] 2 d y = π 0 2 y 4 d y

Answer & Explanation

Blaine Ross

Blaine Ross

Beginner2022-08-27Added 4 answers

Explanation:
What you calculated is the solid generated by the area above the curve.
So the correct answer should be π 4 2 2 I where I is what you found.

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