How do you find the volume of the solid obtained

Makayla Boyd 2022-06-28 Answered
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?
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Answers (1)

Jayce Bates
Answered 2022-06-29 Author has 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
Did you like this example?
Subscribe for all access

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

New questions