### Home > CALC > Chapter 2 > Lesson 2.1.3 > Problem 2-39

2-39.

Calculate the volume of the solid formed by rotating the flag bound by the - and

*-axes and*

*-axis.*

The area contained in the first quadrant is under a quarter-circle.

The flag will be rotated about the -axis. This will result in the same volume as rotating about the

*-axis.*

The resultant 3D figure will be a half-sphere.