How do you find the volume bounded by x = 1, x = 2, y = 0, and y=x^2 revolved about the x-axis?

ice0ver133dvt

ice0ver133dvt

Answered question

2023-02-16

How to find the volume bounded by x = 1, x = 2, y = 0, and y = x 2 revolved about the x-axis?

Answer & Explanation

Saugers5vf

Saugers5vf

Beginner2023-02-17Added 6 answers

As it revolves around x-axis, its volume is given by
1 2 ( π y 2 ) d x
= 1 2 ( π ( x 2 ) 2 ) d x
= π 1 2 x 4 d x
= π [ x 5 5 ] 1 2
= π ( 2 5 5 - 1 5 5 )
= π × 31 5
= 31 π 5

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