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Find the volume of the solid obtained by revolving the area under y=cosx on [0,π/2] around...

  • Find the volume of the solid obtained by revolving the area under y=cosx on [0,π/2] around the y-axis.
  • The total weight of a cable hanging from the ceiling plus the bucket of coal it is attached to is F(x)=1800−2x pounds when the bucket is xx feet off the ground (the cable gets shorter as the bucket is lifted, so the weight decreases). Find the total work done in lifting the bucket from the ground to 100 feet off the ground.

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