How do you use cylindrical shells to find the volume

flightwingsd2

flightwingsd2

Answered question

2022-06-21

How do you use cylindrical shells to find the volume of a solid of revolution?

Answer & Explanation

Quinn Everett

Quinn Everett

Beginner2022-06-22Added 23 answers

If the solid is obtained by rotating the region between the graph of f(x) and the x-axis from x = a to x=b about the y-axis, the volume V of the solid can be found by Shell Method:
V = 2 π a b x f ( x ) d x

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