Worksheet: Shell Method for Rotating around a Horizontal

In this worksheet, we will practice how to determine the volume of a solid of revolution using the shell method for rotations around a horizontal line.


Determine, to two decimal places, the volume of the solid obtained by rotating the region bounded by the curves 𝑥 = 5 𝑦 2 and 𝑥 = 2 𝑦 2 about 𝑥 = 3 .

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