Level:
Project ID:
1003118705
Accepted:
1
Clonable:
0
Easy:
0
Peter and Jane both calculated the volume of a solid of revolution using a definite integral. Both chose a solid obtained by rotation of a line segment about the \( x \)-axis. The endpoints of Peter’s line segment are \( [0;1] \) and \( [5;4] \), the endpoints of Jane’s line segment are \( [0;3] \) and \( [5;0] \). Finally, they compared their calculated volumes. Which of the following statements is true?
Peter’s solid is \( 20\pi \) bigger.
Jane’s solid is \( 20\pi \) bigger.
Both solids have the same volume.
The difference between Peter’s solid and Jane’s solid is \( 10\pi \).