If a region is bounded by y

Kassandra Ross

Kassandra Ross

Answered question

2022-06-27

If a region is bounded by y = x + 3, y=5, and the y=axis and it is revolved around the y = 7, how do you find the volume?

Answer & Explanation

assumintdz

assumintdz

Beginner2022-06-28Added 22 answers

The volume of a small slice,
d V = π ( 7 ( x + 3 ) ) 2 d x
Therefore,
V = 0 4 π ( 7 ( x + 3 ) ) 2 d x
V = π 0 4 ( 49 ( x + 6 x + 9 ) ) d x
= π 0 4 ( 49 x 6 x 9 ) d x
= π [ 40 x x 2 2 6 x 2 3 3 2 ] 0 4
= π ( 160 8 32 ) = 120 π

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?