How do you find the volume bounded by y=1 and y=x^2 revolved about the y=1?

London Lawson

London Lawson

Answered question

2023-01-29

How to find the volume bounded by y=1 and y = x 2 revolved about the y=1?

Answer & Explanation

Mia Small

Mia Small

Beginner2023-01-30Added 11 answers

R = 1 - x 2
V = - 1 1 π R 2 d x
V = - 1 1 π R 2 d x
V = π - 1 1 ( 1 - x 2 ) 2 d x
V = π - 1 1 ( x 4 - 2 x 2 + 1 ) d x
V = π [ x 5 5 - 2 x 3 3 + x ] - 1 1
V = π [ 1 5 - 2 3 + 1 - ( - 1 5 + 2 3 - 1 ) ] V = π [ 2 5 - 4 3 + 2 ] = π 6 - 20 + 30 15

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