* Site-Outage Notice: Our engineering elves will be tweaking the Shmoop site from Monday, December 22 10:00 PM PST to Tuesday, December 23 5:00 AM PST. The site will be unavailable during this time.
Dismiss
© 2014 Shmoop University, Inc. All rights reserved.
Area, Volume, and Arc Length

Area, Volume, and Arc Length

Example 1

Let R be the region bounded by y = x and y = x2. Find the volume of the solid obtained when R is rotated around the

(a) x-axis

(b) y-axis

Example 2

Let R be the region bounded by y = x and y = x2. Find the volume of the solid obtained by rotating R around

(a) the line y = -1

(b) the line x = 4

Advertisement
Noodle's College Search
Advertisement
Advertisement
Advertisement