The area under the curve y =

desertiev5

desertiev5

Answered question

2022-07-09

The area under the curve y = 1 x from x=8 to x=10 is revolved about the x-axis. What is the volume of the solid formed?

Answer & Explanation

Karissa Macdonald

Karissa Macdonald

Beginner2022-07-10Added 12 answers

The region bound by these curves can be thought of as the region bound by y = 1 x and the x axis, between x=8 and x=10.
Hence, V = π 8 10 ( 1 x ) 2 d x
= π 8 10 x 2 d x
= π 8 10 x 2 d x
= π [ x 1 1 ] 8 10
= π [ 1 x ] 8 10
= π ( 1 10 1 8 )
= π ( 1 40 )
= π 40

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