Show complete solution
in Calculus Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

Revolution around the x-axis means that y forms the radius of revolution and dx is the thickness of the infinitesimal disc that has a volume πy2dx. When y=1, x=1, so x starts at 0 (the vertex of y=x4) and moves towards x=1, while radius y goes from 0 to 1. The integral is 01(πy2)dx=π01x8dx=π[x9/9]01=π/9 cubic units.

by Top Rated User (1.0m points)

Related questions

Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
87,184 questions
97,329 answers
2,380 comments
24,564 users