How do you find the volume of the solid obtained

Makayla Boyd

Makayla Boyd

Answered question

2022-06-28

How do you find the volume of the solid obtained by rotating the region bounded by y=x and y = x 2 about the line x=-1?

Answer & Explanation

Jayce Bates

Jayce Bates

Beginner2022-06-29Added 18 answers

By Shell Method,
V = 2 π 0 1 ( x + 1 ) ( x x 2 ) d x = 2 π 0 1 ( x x 3 ) d x
= 2 π [ x 2 2 x 4 4 ] 0 1 = 2 π ( 1 2 1 4 ) = π 2

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