E-VO01 · Area and volume from the same profile
The region R lies below \(y=\sqrt{2x+3}\), above the x-axis, with \(0\le x\le3\).
Find the exact area of R.
R is rotated about the x-axis. Find the volume.
A cylinder of radius 3 and length 3 contains this solid. What fraction of the cylinder is occupied, and what volume is unoccupied?
Complete-answer checking, worked solutions and indicative written criteria.
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