The line y = 2x from x = 0 to 1 is rotated around the y-axis. The volume generated is:
The line y = 2x from x = 0 to 1 is rotated around the y-axis. The volume generated is:
Select an option to attempt
Correct Answer: Option B
Explanation
Volume of revolution — rotating y = 2x about the y-axis:When rotating the line(from x = 0 to 1) about the y-axis, express x in terms of y:, and y ranges from 0 to 2.Using the disk method (integrating with respect to y):This generates a cone with base radius 1 and height 2.Answer:(Option 2).