#Volumes of Revolution

29 messages · Page 1 of 1 (latest)

untold quarry
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So I was trying to do this question I think I have the right process but I got two completely different volumes when they should be the same its just question 6a i can do the rest if i get this done

IMG_6292.jpg
fiery chasmBOT
#
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fiery chasmBOT
untold quarry
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I mostly just need a bit of guidance on what i did wrong and how do i go right

runic venture
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my head hurts lmao

untold quarry
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Sure

fresh island
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I think you're confused about what area the integral would give you

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The radius goes from the y axis to the point on the curve

untold quarry
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How do I do it then, knowing the radius is 1

fresh island
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The integral does not give you each half of the shape

fresh island
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It varies as a function of y

fresh island
untold quarry
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Giving me 36861.35pi^2cm^3 which is fairly close to the actual model so it seems right for part b and c

fresh island
fresh island
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it shouldn't have a -1

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I got 578/45 pi for the volume of the model

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which should be closer to what is expected

untold quarry
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+close

fiery chasmBOT
# untold quarry +close
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fiery chasmBOT
# fiery chasm

Thank you for your feedback! 1significantfiguresSIGMASIGMABOY has been awarded 1 helper_points. They now have 23 helper_points. They have 3 helper_points daily left for today.